226965120 has 64 divisors (see below), whose sum is σ = 723457440. Its totient is φ = 60523520.

The previous prime is 226965097. The next prime is 226965149. The reversal of 226965120 is 21569622.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×226965120² = 103026331393228800, which contains 22 as substring.

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, 57186 + ... + 61025.

Almost surely, 2^226965120 is an apocalyptic number.

226965120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226965120 is an abundant number, since it is smaller than the sum of its proper divisors (496492320).

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

226965120 is a wasteful number, since it uses less digits than its factorization.

226965120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118233 (or 118221 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 226965120 is about 15065.3615953949. The cubic root of 226965120 is about 609.9857741016.

The spelling of 226965120 in words is "two hundred twenty-six million, nine hundred sixty-five thousand, one hundred twenty".