▁Register ▁of ▁Historic ▁Places ▁in ▁Washington , ▁D . C . ▁Category : Ital ian ate ▁architecture ▁in ▁Washington , ▁D . C . ▁Category : 1 8 6 2 ▁establish ments ▁in ▁Washington , ▁D . C . <0x0A> </s> ▁Hamilton ▁County ▁( count y ▁code ▁H M ) ▁is ▁a ▁county ▁located ▁in ▁the ▁U . S . ▁state ▁of ▁Kansas . ▁As ▁of ▁the ▁ 2 0 1 0 ▁census , ▁the ▁county ▁population ▁was ▁ 2 , 6 9 0 . ▁Its ▁county ▁seat ▁and ▁most ▁popul ous ▁city ▁is ▁Sy rac use . ▁The ▁county ▁was ▁founded ▁in ▁ 1 8 7 3 ▁and ▁named ▁for ▁Alexander ▁Hamilton . ▁ ▁Geography ▁According ▁to ▁the ▁U . S . ▁Census ▁Bureau , ▁the ▁county ▁has ▁a ▁total ▁area ▁of ▁, ▁of ▁which ▁ ▁is ▁land ▁and ▁ ▁( 0 . 1 %) ▁is ▁water . ▁ ▁Major ▁high ways ▁ ▁U . S . ▁Highway ▁ 5 0 ▁ ▁U . S . ▁Highway ▁ 4 0 0 ▁ ▁K - 2 7 ▁ ▁Ad j acent ▁count ies ▁ ▁Gree ley ▁County ▁( n orth ) ▁ ▁W ich ita ▁County ▁( n ortheast / Cent ral ▁Time ▁border ) ▁ ▁K ear ny ▁County ▁( east / Cent ral ▁Time ▁border ) ▁ ▁St anton ▁County ▁( s outh / Cent ral ▁Time ▁border ) ▁ ▁P row ers ▁County , ▁Colorado ▁( west ) ▁ ▁Dem ograph ics ▁ ▁As ▁of ▁the ▁ 2 0 0