225162320 has 40 divisors (see below), whose sum is σ = 526022880. Its totient is φ = 89631360.

The previous prime is 225162313. The next prime is 225162337. The reversal of 225162320 is 23261522.

225162320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 10211 + ... + 23549.

It is an arithmetic number, because the mean of its divisors is an integer number (13150572).

Almost surely, 2^225162320 is an apocalyptic number.

225162320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225162320 is an abundant number, since it is smaller than the sum of its proper divisors (300860560).

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

225162320 is a wasteful number, since it uses less digits than its factorization.

225162320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13563 (or 13557 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 225162320 is about 15005.4096911747. The cubic root of 225162320 is about 608.3664255887.

The spelling of 225162320 in words is "two hundred twenty-five million, one hundred sixty-two thousand, three hundred twenty".