225058176 has 240 divisors, whose sum is σ = 780878340. Its totient is φ = 64157184.

The previous prime is 225058147. The next prime is 225058187. The reversal of 225058176 is 671850522.

It is a happy number.

225058176 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 581 + 76 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 225058176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 507811 + ... + 508253.

Almost surely, 2^225058176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225058176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390439170).

225058176 is an abundant number, since it is smaller than the sum of its proper divisors (555820164).

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

225058176 is an equidigital number, since it uses as much as digits as its factorization.

225058176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 225058176 is about 15001.9390746663. The cubic root of 225058176 is about 608.2726155116.

The spelling of 225058176 in words is "two hundred twenty-five million, fifty-eight thousand, one hundred seventy-six".