Complete the number analogy: 26 : 224 :: 35 : ?

Each digit is cubed and the two cubes are added. For 26 that gives 8 + 216 = 224, so for 35 it gives 27 + 125 = 152. The distractors are the rules that stop one step short: 34 adds the squares (9 + 25) but fails the first pair, where 4 + 36 = 40 and not 224; 15 multiplies the digits $(3\times 5)$ yet $2\times 6=12$ for the first pair; and 64 squares the digit sum, though (2 + 6) squared is 64, again not 224.