22 µF at 35 V — the rating that decides the rail
The TAJE226K035HNJ is a 22 µF tantalum capacitor rated at 35 V with ±10% tolerance — the voltage rating gives 40% derating on a 24 V rail, which is the margin that keeps a tantalum from going up in smoke on a turn-on surge.
500 mOhm ESR — what it means for ripple and heat
The 500 mOhm equivalent series resistance sets the self-heating under ripple current — at 1 A ripple the internal dissipation is 0.5 W, which the 2917 case can handle with decent PCB copper but not in a sealed module with no airflow.