225806976 has 96 divisors (see below), whose sum is σ = 670849920. Its totient is φ = 72829440.

The previous prime is 225806969. The next prime is 225806989. The reversal of 225806976 is 679608522.

225806976 is a `hidden beast` number, since 2 + 2 + 580 + 69 + 7 + 6 = 666.

225806976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32551 + ... + 38873.

It is an arithmetic number, because the mean of its divisors is an integer number (6988020).

Almost surely, 2^225806976 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 225806976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335424960).

225806976 is an abundant number, since it is smaller than the sum of its proper divisors (445042944).

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

225806976 is a wasteful number, since it uses less digits than its factorization.

225806976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6374 (or 6359 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 225806976 is about 15026.8751242565. The cubic root of 225806976 is about 608.9464713886.

The spelling of 225806976 in words is "two hundred twenty-five million, eight hundred six thousand, nine hundred seventy-six".