225968920 has 32 divisors (see below), whose sum is σ = 524833920. Its totient is φ = 87471360.

The previous prime is 225968893. The next prime is 225968923. The reversal of 225968920 is 29869522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225968923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89877 + ... + 92356.

It is an arithmetic number, because the mean of its divisors is an integer number (16401060).

Almost surely, 2^225968920 is an apocalyptic number.

225968920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225968920 is an abundant number, since it is smaller than the sum of its proper divisors (298865000).

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

225968920 is a wasteful number, since it uses less digits than its factorization.

225968920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182275 (or 182271 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 225968920 is about 15032.2626374076. The cubic root of 225968920 is about 609.0920111228.

The spelling of 225968920 in words is "two hundred twenty-five million, nine hundred sixty-eight thousand, nine hundred twenty".