225509688 has 48 divisors (see below), whose sum is σ = 615443400. Its totient is φ = 74592960.

The previous prime is 225509681. The next prime is 225509701. The reversal of 225509688 is 886905522.

225509688 is a `hidden beast` number, since 2 + 2 + 550 + 96 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225509681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2523 + ... + 21386.

Almost surely, 2^225509688 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 225509688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307721700).

225509688 is an abundant number, since it is smaller than the sum of its proper divisors (389933712).

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

225509688 is a wasteful number, since it uses less digits than its factorization.

225509688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24052 (or 24045 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 225509688 is about 15016.9799893321. The cubic root of 225509688 is about 608.6791162246.

The spelling of 225509688 in words is "two hundred twenty-five million, five hundred nine thousand, six hundred eighty-eight".