225502656 has 56 divisors (see below), whose sum is σ = 604235520. Its totient is φ = 74211072.

The previous prime is 225502639. The next prime is 225502657. The reversal of 225502656 is 656205522.

225502656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225502657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7735 + ... + 22601.

It is an arithmetic number, because the mean of its divisors is an integer number (10789920).

Almost surely, 2^225502656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225502656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302117760).

225502656 is an abundant number, since it is smaller than the sum of its proper divisors (378732864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225502656 is a wasteful number, since it uses less digits than its factorization.

225502656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14961 (or 14951 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 225502656 is about 15016.7458525474. The cubic root of 225502656 is about 608.6727894069.

The spelling of 225502656 in words is "two hundred twenty-five million, five hundred two thousand, six hundred fifty-six".