225707688 has 128 divisors (see below), whose sum is σ = 675840000. Its totient is φ = 69564096.

The previous prime is 225707641. The next prime is 225707693. The reversal of 225707688 is 886707522.

225707688 is a `hidden beast` number, since 2 + 2 + 570 + 76 + 8 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175833 + ... + 177111.

It is an arithmetic number, because the mean of its divisors is an integer number (5280000).

Almost surely, 2^225707688 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 225707688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337920000).

225707688 is an abundant number, since it is smaller than the sum of its proper divisors (450132312).

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

225707688 is a wasteful number, since it uses less digits than its factorization.

225707688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1346 counting only the distinct ones).

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

The square root of 225707688 is about 15023.5710801394. The cubic root of 225707688 is about 608.8572064448.

The spelling of 225707688 in words is "two hundred twenty-five million, seven hundred seven thousand, six hundred eighty-eight".