225356808 has 64 divisors (see below), whose sum is σ = 581011200. Its totient is φ = 72797760.

The previous prime is 225356773. The next prime is 225356809. The reversal of 225356808 is 808653522.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (225356809) 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 15 ways as a sum of consecutive naturals, for example, 142663 + ... + 144233.

It is an arithmetic number, because the mean of its divisors is an integer number (9078300).

Almost surely, 2^225356808 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 225356808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290505600).

225356808 is an abundant number, since it is smaller than the sum of its proper divisors (355654392).

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

225356808 is a wasteful number, since it uses less digits than its factorization.

225356808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 225356808 is about 15011.8888884777. Note that the first 6 decimals coincide. The cubic root of 225356808 is about 608.5415376571.

The spelling of 225356808 in words is "two hundred twenty-five million, three hundred fifty-six thousand, eight hundred eight".