225938160 has 400 divisors, whose sum is σ = 952814016. Its totient is φ = 48439296.

The previous prime is 225938149. The next prime is 225938171. The reversal of 225938160 is 61839522.

225938160 is a `hidden beast` number, since 2 + 2 + 593 + 8 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (225938149) and next prime (225938171).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 770974 + ... + 771266.

Almost surely, 2^225938160 is an apocalyptic number.

225938160 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 225938160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476407008).

225938160 is an abundant number, since it is smaller than the sum of its proper divisors (726875856).

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

225938160 is a wasteful number, since it uses less digits than its factorization.

225938160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 225938160 is about 15031.2394698508. The cubic root of 225938160 is about 609.0643723360.

The spelling of 225938160 in words is "two hundred twenty-five million, nine hundred thirty-eight thousand, one hundred sixty".