225767808 has 96 divisors (see below), whose sum is σ = 742506960. Its totient is φ = 64502784.

The previous prime is 225767783. The next prime is 225767809. The reversal of 225767808 is 808767522.

225767808 is a `hidden beast` number, since 2 + 2 + 576 + 78 + 0 + 8 = 666.

225767808 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 a super-2 number, since 2×225767808² = 101942206258249728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225767809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5935 + ... + 22062.

Almost surely, 2^225767808 is an apocalyptic number.

225767808 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

225767808 is an abundant number, since it is smaller than the sum of its proper divisors (516739152).

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

225767808 is a wasteful number, since it uses less digits than its factorization.

225767808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28024 (or 28009 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 225767808 is about 15025.5718027634. The cubic root of 225767808 is about 608.9112604974.

The spelling of 225767808 in words is "two hundred twenty-five million, seven hundred sixty-seven thousand, eight hundred eight".