225185688 has 96 divisors (see below), whose sum is σ = 750640800. Its totient is φ = 59387904.

The previous prime is 225185687. The next prime is 225185717. The reversal of 225185688 is 886581522.

225185688 is a `hidden beast` number, since 2 + 2 + 518 + 56 + 88 = 666.

225185688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225185687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10633 + ... + 23736.

It is an arithmetic number, because the mean of its divisors is an integer number (7819175).

Almost surely, 2^225185688 is an apocalyptic number.

225185688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

225185688 is an abundant number, since it is smaller than the sum of its proper divisors (525455112).

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

225185688 is a wasteful number, since it uses less digits than its factorization.

225185688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34401 (or 34394 counting only the distinct ones).

The product of its digits is 307200, while the sum is 45.

The square root of 225185688 is about 15006.1883234884. The cubic root of 225185688 is about 608.3874708726.

The spelling of 225185688 in words is "two hundred twenty-five million, one hundred eighty-five thousand, six hundred eighty-eight".