How is the current through this resistor not obeying ohm's law?
The internal resistance of the source is responsible for the low current.
Source voltage = 5.15 V
Current limiting resistor value = 220 Ω
Current = 0.00029 A
Total resistance in circuit = 5.15/0.00029 = 17759 Ω
Internal resistance of the source = 17759 - 220 = 17.5 kΩ