225892128 has 96 divisors (see below), whose sum is σ = 739307520. Its totient is φ = 58671360.

The previous prime is 225892127. The next prime is 225892129. The reversal of 225892128 is 821298522.

It is an interprime number because it is at equal distance from previous prime (225892127) and next prime (225892129).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (225892127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7888 + ... + 22671.

It is an arithmetic number, because the mean of its divisors is an integer number (7701120).

Almost surely, 2^225892128 is an apocalyptic number.

225892128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

225892128 is an abundant number, since it is smaller than the sum of its proper divisors (513415392).

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

225892128 is a wasteful number, since it uses less digits than its factorization.

225892128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30590 (or 30582 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 225892128 is about 15029.7081807998. The cubic root of 225892128 is about 609.0230065106.

The spelling of 225892128 in words is "two hundred twenty-five million, eight hundred ninety-two thousand, one hundred twenty-eight".