In arduino's official page about ShiftOut https://www.arduino.cc/en/Tutorial/ShiftOut, a drawing with two 74HC595 powered by the arduino board, is displayed.
Since the resistors are 220Ω, the total current should be 5/220x16 = 0.36A which exceeds the maximum total current of 0.20A for the arduino device.
So, could someone turn on simultaneously 16 LEDs using two shift registers without damaging the device?
Thank you