## 42224

42,224 (forty-two thousand two hundred twenty-four) is an even five-digits composite number following 42223 and preceding 42225. In scientific notation, it is written as 4.2224 × 104. The sum of its digits is 14. It has a total of 7 prime factors and 40 positive divisors. There are 16,128 positive integers (up to 42224) that are relatively prime to 42224.

## Basic properties

• Is Prime? No
• Number parity Even
• Number length 5
• Sum of Digits 14
• Digital Root 5

## Name

Short name 42 thousand 224 forty-two thousand two hundred twenty-four

## Notation

Scientific notation 4.2224 × 104 42.224 × 103

## Prime Factorization of 42224

Prime Factorization 24 × 7 × 13 × 29

Composite number
Distinct Factors Total Factors Radical ω(n) 4 Total number of distinct prime factors Ω(n) 7 Total number of prime factors rad(n) 5278 Product of the distinct prime numbers λ(n) -1 Returns the parity of Ω(n), such that λ(n) = (-1)Ω(n) μ(n) 0 Returns: 1, if n has an even number of prime factors (and is square free) −1, if n has an odd number of prime factors (and is square free) 0, if n has a squared prime factor Λ(n) 0 Returns log(p) if n is a power pk of any prime p (for any k >= 1), else returns 0

The prime factorization of 42,224 is 24 × 7 × 13 × 29. Since it has a total of 7 prime factors, 42,224 is a composite number.

## Divisors of 42224

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 29, 52, 56, 58, 91, 104, 112, 116, 182, 203, 208, 232, 364, 377, 406, 464, 728, 754, 812, 1456, 1508, 1624, 2639, 3016, 3248, 5278, 6032, 10556, 21112, 42224

40 divisors

 Even divisors 32 8 4 4
Total Divisors Sum of Divisors Aliquot Sum τ(n) 40 Total number of the positive divisors of n σ(n) 104160 Sum of all the positive divisors of n s(n) 61936 Sum of the proper positive divisors of n A(n) 2604 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 205.485 Returns the nth root of the product of n divisors H(n) 16.2151 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 42,224 can be divided by 40 positive divisors (out of which 32 are even, and 8 are odd). The sum of these divisors (counting 42,224) is 104,160, the average is 2,604.

## Other Arithmetic Functions (n = 42224)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 16128 Total number of positive integers not greater than n that are coprime to n λ(n) 168 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 4409 Total number of primes less than or equal to n r2(n) 0 The number of ways n can be represented as the sum of 2 squares

There are 16,128 positive integers (less than 42,224) that are coprime with 42,224. And there are approximately 4,409 prime numbers less than or equal to 42,224.

## Divisibility of 42224

 m n mod m 2 3 4 5 6 7 8 9 0 2 0 4 2 0 0 5

The number 42,224 is divisible by 2, 4, 7 and 8.

• Arithmetic
• Abundant

• Polite
• Practical

## Base conversion (42224)

Base System Value
2 Binary 1010010011110000
3 Ternary 2010220212
4 Quaternary 22103300
5 Quinary 2322344
6 Senary 523252
8 Octal 122360
10 Decimal 42224
12 Duodecimal 20528
20 Vigesimal 55b4
36 Base36 wkw

## Basic calculations (n = 42224)

### Multiplication

n×i
 n×2 84448 126672 168896 211120

### Division

ni
 n⁄2 21112 14074.7 10556 8444.8

### Exponentiation

ni
 n2 1782866176 75279741415424 3178611801524862976 134213704707585814298624

### Nth Root

i√n
 2√n 205.485 34.822 14.3347 8.41612

## 42224 as geometric shapes

### Circle

 Diameter 84448 265301 5.60104e+09

### Sphere

 Volume 3.15331e+14 2.24042e+10 265301

### Square

Length = n
 Perimeter 168896 1.78287e+09 59713.8

### Cube

Length = n
 Surface area 1.06972e+10 7.52797e+13 73134.1

### Equilateral Triangle

Length = n
 Perimeter 126672 7.72004e+08 36567.1

### Triangular Pyramid

Length = n
 Surface area 3.08801e+09 8.8718e+12 34475.8

## Cryptographic Hash Functions

md5 d9d60b7a1937e200df7852bf20ea210d 3ae00cd939797079be44753354347905dc5ca677 b4d6e40495c49983b0eecf70128a1d70664513c97678a2b9f4d93bdacd80d6b7 977a009172de3f29257deb22490bc6a2e90b5fe9e3cfd2b510eaf6aa3b4f60badde8519b68e8b85a4aba2e2ba0a9e17d66acedb7e01335ce2662f7ef24855e35 4806d8bbb2db38cc7c881bf662f62e6fa4e96881
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