225808768 has 32 divisors (see below), whose sum is σ = 473535000. Its totient is φ = 106960896.

The previous prime is 225808741. The next prime is 225808777. The reversal of 225808768 is 867808522.

It is a happy number.

225808768 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 (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43993 + ... + 48856.

Almost surely, 2^225808768 is an apocalyptic number.

It is an amenable number.

225808768 is an abundant number, since it is smaller than the sum of its proper divisors (247726232).

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

225808768 is an equidigital number, since it uses as much as digits as its factorization.

225808768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92882 (or 92870 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The square root of 225808768 is about 15026.9347506403. The cubic root of 225808768 is about 608.9480822470.

It can be divided in two parts, 225808 and 768, that added together give a square (226576 = 476²).

The spelling of 225808768 in words is "two hundred twenty-five million, eight hundred eight thousand, seven hundred sixty-eight".