225812160 has 336 divisors, whose sum is σ = 928152576. Its totient is φ = 49268736.

The previous prime is 225812159. The next prime is 225812189. The reversal of 225812160 is 61218522.

It is a happy number.

225812160 is a `hidden beast` number, since 2 + 2 + 581 + 21 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×225812160² = 101982263207731200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463437 + ... + 463923.

Almost surely, 2^225812160 is an apocalyptic number.

225812160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464076288).

225812160 is an abundant number, since it is smaller than the sum of its proper divisors (702340416).

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

225812160 is a wasteful number, since it uses less digits than its factorization.

225812160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 225812160 is about 15027.0476142188. The cubic root of 225812160 is about 608.9511313485.

The spelling of 225812160 in words is "two hundred twenty-five million, eight hundred twelve thousand, one hundred sixty".