225511608 has 256 divisors, whose sum is σ = 729907200. Its totient is φ = 56609280.

The previous prime is 225511607. The next prime is 225511609. The reversal of 225511608 is 806115522.

It is an interprime number because it is at equal distance from previous prime (225511607) and next prime (225511609).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225511607) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4254910 + ... + 4254962.

It is an arithmetic number, because the mean of its divisors is an integer number (2851200).

Almost surely, 2^225511608 is an apocalyptic number.

225511608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225511608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364953600).

225511608 is an abundant number, since it is smaller than the sum of its proper divisors (504395592).

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

225511608 is a wasteful number, since it uses less digits than its factorization.

225511608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 225511608 is about 15017.0439168300. The cubic root of 225511608 is about 608.6808436604.

The spelling of 225511608 in words is "two hundred twenty-five million, five hundred eleven thousand, six hundred eight".