225627732 has 54 divisors (see below), whose sum is σ = 626911194. Its totient is φ = 68370720.

The previous prime is 225627707. The next prime is 225627733. The reversal of 225627732 is 237726522.

225627732 is a `hidden beast` number, since 2 + 25 + 627 + 7 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 163942416 + 61685316 = 12804^2 + 7854^2 .

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (225627733) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21543 + ... + 30254.

Almost surely, 2^225627732 is an apocalyptic number.

225627732 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

225627732 is an abundant number, since it is smaller than the sum of its proper divisors (401283462).

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

225627732 is a wasteful number, since it uses less digits than its factorization.

225627732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51829 (or 51813 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 225627732 is about 15020.9098259726. The cubic root of 225627732 is about 608.7853029180.

The spelling of 225627732 in words is "two hundred twenty-five million, six hundred twenty-seven thousand, seven hundred thirty-two".