225637600 has 144 divisors (see below), whose sum is σ = 597336768. Its totient is φ = 82903040.

The previous prime is 225637591. The next prime is 225637627. The reversal of 225637600 is 6736522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 639024 + ... + 639376.

It is an arithmetic number, because the mean of its divisors is an integer number (4148172).

Almost surely, 2^225637600 is an apocalyptic number.

225637600 is a gapful number since it is divisible by the number (20) 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 225637600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298668384).

225637600 is an abundant number, since it is smaller than the sum of its proper divisors (371699168).

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

225637600 is a wasteful number, since it uses less digits than its factorization.

225637600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 225637600 is about 15021.2382978235. The cubic root of 225637600 is about 608.7941780176.

The spelling of 225637600 in words is "two hundred twenty-five million, six hundred thirty-seven thousand, six hundred".