225132320 has 48 divisors (see below), whose sum is σ = 607860288. Its totient is φ = 77187840.

The previous prime is 225132317. The next prime is 225132331. The reversal of 225132320 is 23231522.

225132320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 225132292 and 225132301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99386 + ... + 101625.

It is an arithmetic number, because the mean of its divisors is an integer number (12663756).

Almost surely, 2^225132320 is an apocalyptic number.

225132320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225132320 is an abundant number, since it is smaller than the sum of its proper divisors (382727968).

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

225132320 is a wasteful number, since it uses less digits than its factorization.

225132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201033 (or 201025 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 225132320 is about 15004.4100183913. The cubic root of 225132320 is about 608.3394053730.

Adding to 225132320 its reverse (23231522), we get a palindrome (248363842).

The spelling of 225132320 in words is "two hundred twenty-five million, one hundred thirty-two thousand, three hundred twenty".