KöMaL 2015 C1282

How many solutions does the equation $2^{a}+3^{b}+4^{c}+5^{d}+6^{e}=22$ have where $a$ , $b$ , $c$ , $d$ , $e$ are integers?

Official text KöMaL. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.