225396920 has 32 divisors (see below), whose sum is σ = 579592800. Its totient is φ = 77278848.

The previous prime is 225396901. The next prime is 225396923. The reversal of 225396920 is 29693522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225396923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 402215 + ... + 402774.

It is an arithmetic number, because the mean of its divisors is an integer number (18112275).

Almost surely, 2^225396920 is an apocalyptic number.

225396920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225396920 is an abundant number, since it is smaller than the sum of its proper divisors (354195880).

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

225396920 is a wasteful number, since it uses less digits than its factorization.

225396920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805007 (or 805003 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 38.

The square root of 225396920 is about 15013.2248367897. The cubic root of 225396920 is about 608.5776409522.

The spelling of 225396920 in words is "two hundred twenty-five million, three hundred ninety-six thousand, nine hundred twenty".