225306432 has 84 divisors (see below), whose sum is σ = 695500260. Its totient is φ = 69322752.

The previous prime is 225306409. The next prime is 225306443. The reversal of 225306432 is 234603522.

225306432 is a `hidden beast` number, since 225 + 3 + 0 + 6 + 432 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68956416 + 156350016 = 8304^2 + 12504^2 .

It is a junction number, because it is equal to n+sod(n) for n = 225306396 and 225306405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7557 + ... + 22532.

It is an arithmetic number, because the mean of its divisors is an integer number (8279765).

Almost surely, 2^225306432 is an apocalyptic number.

It is an amenable number.

225306432 is an abundant number, since it is smaller than the sum of its proper divisors (470193828).

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

225306432 is a wasteful number, since it uses less digits than its factorization.

225306432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30120 (or 30107 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 225306432 is about 15010.2109245673. The cubic root of 225306432 is about 608.4961900543.

Adding to 225306432 its reverse (234603522), we get a palindrome (459909954).

The spelling of 225306432 in words is "two hundred twenty-five million, three hundred six thousand, four hundred thirty-two".