225257160 has 128 divisors (see below), whose sum is σ = 734515200. Its totient is φ = 55054080.

The previous prime is 225257143. The next prime is 225257161. The reversal of 225257160 is 61752522.

225257160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (225257161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69087 + ... + 72273.

It is an arithmetic number, because the mean of its divisors is an integer number (5738400).

Almost surely, 2^225257160 is an apocalyptic number.

225257160 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 225257160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367257600).

225257160 is an abundant number, since it is smaller than the sum of its proper divisors (509258040).

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

225257160 is a wasteful number, since it uses less digits than its factorization.

225257160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 225257160 is about 15008.5695520926. The cubic root of 225257160 is about 608.4518297138.

The spelling of 225257160 in words is "two hundred twenty-five million, two hundred fifty-seven thousand, one hundred sixty".