225008928 has 120 divisors (see below), whose sum is σ = 676190592. Its totient is φ = 73367424.

The previous prime is 225008899. The next prime is 225008947. The reversal of 225008928 is 829800522.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 225008892 and 225008901.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 120901 + ... + 122747.

Almost surely, 2^225008928 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 225008928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338095296).

225008928 is an abundant number, since it is smaller than the sum of its proper divisors (451181664).

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

225008928 is a wasteful number, since it uses less digits than its factorization.

225008928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 225008928 is about 15000.2975970479. The cubic root of 225008928 is about 608.2282441768.

The spelling of 225008928 in words is "two hundred twenty-five million, eight thousand, nine hundred twenty-eight".