225688100 has 36 divisors (see below), whose sum is σ = 534267888. Its totient is φ = 82068000.

The previous prime is 225688087. The next prime is 225688103. The reversal of 225688100 is 1886522.

225688100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×225688100² = 101870236963220000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (225688103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101486 + ... + 103685.

Almost surely, 2^225688100 is an apocalyptic number.

225688100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225688100 is an abundant number, since it is smaller than the sum of its proper divisors (308579788).

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

225688100 is a wasteful number, since it uses less digits than its factorization.

225688100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205196 (or 205189 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 225688100 is about 15022.9191570746. The cubic root of 225688100 is about 608.8395927486.

The spelling of 225688100 in words is "two hundred twenty-five million, six hundred eighty-eight thousand, one hundred".