225688180 has 24 divisors (see below), whose sum is σ = 474259968. Its totient is φ = 90215328.

The previous prime is 225688163. The next prime is 225688189. The reversal of 225688180 is 81886522.

It is a happy number.

225688180 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

225688180 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225688189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39037 + ... + 44443.

It is an arithmetic number, because the mean of its divisors is an integer number (19760832).

Almost surely, 2^225688180 is an apocalyptic number.

225688180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225688180 is an abundant number, since it is smaller than the sum of its proper divisors (248571788).

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

225688180 is a wasteful number, since it uses less digits than its factorization.

225688180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7503 (or 7501 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 225688180 is about 15022.9218196728. The cubic root of 225688180 is about 608.8396646873.

The spelling of 225688180 in words is "two hundred twenty-five million, six hundred eighty-eight thousand, one hundred eighty".