225950464 has 36 divisors (see below), whose sum is σ = 451989720. Its totient is φ = 112732160.

The previous prime is 225950449. The next prime is 225950531. The reversal of 225950464 is 464059522.

225950464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×225950464² = 102107224363630592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 206559 + ... + 207649.

It is an arithmetic number, because the mean of its divisors is an integer number (12555270).

Almost surely, 2^225950464 is an apocalyptic number.

It is an amenable number.

225950464 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

225950464 is an equidigital number, since it uses as much as digits as its factorization.

225950464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 225950464 is about 15031.6487452308. The cubic root of 225950464 is about 609.0754281517.

The spelling of 225950464 in words is "two hundred twenty-five million, nine hundred fifty thousand, four hundred sixty-four".