Sounds fairly intuitive but just to be sure I ran the math (by which I mean I typed them both into Google)

2^255 = 5.7896045e+76

52! = 8.0658175e+67

EDIT: I misread 2^225 as 2^255, thanks for the heads up from rzzzt.

2^225 = 5.3919893e+67, which is indeed smaller.