225658944 has 84 divisors (see below), whose sum is σ = 739225344. Its totient is φ = 64472832.

The previous prime is 225658933. The next prime is 225658949. The reversal of 225658944 is 449856522.

225658944 is a `hidden beast` number, since 2 + 2 + 565 + 89 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 225658944.

It is not an unprimeable number, because it can be changed into a prime (225658949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23952 + ... + 32015.

Almost surely, 2^225658944 is an apocalyptic number.

225658944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225658944 is an abundant number, since it is smaller than the sum of its proper divisors (513566400).

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

225658944 is a wasteful number, since it uses less digits than its factorization.

225658944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55992 (or 55979 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 225658944 is about 15021.9487417578. The cubic root of 225658944 is about 608.8133735377.

The spelling of 225658944 in words is "two hundred twenty-five million, six hundred fifty-eight thousand, nine hundred forty-four".