225953472 has 112 divisors (see below), whose sum is σ = 656904960. Its totient is φ = 68226048.

The previous prime is 225953437. The next prime is 225953527. The reversal of 225953472 is 274359522.

225953472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 225953472.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82558 + ... + 85250.

Almost surely, 2^225953472 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 225953472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328452480).

225953472 is an abundant number, since it is smaller than the sum of its proper divisors (430951488).

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

225953472 is a wasteful number, since it uses less digits than its factorization.

225953472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2740 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 225953472 is about 15031.7488004557. The cubic root of 225953472 is about 609.0781309429.

The spelling of 225953472 in words is "two hundred twenty-five million, nine hundred fifty-three thousand, four hundred seventy-two".