225689600 has 180 divisors, whose sum is σ = 609466200. Its totient is φ = 82575360.

The previous prime is 225689591. The next prime is 225689627. The reversal of 225689600 is 6986522.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7782386 + ... + 7782414.

Almost surely, 2^225689600 is an apocalyptic number.

225689600 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 225689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304733100).

225689600 is an abundant number, since it is smaller than the sum of its proper divisors (383776600).

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

225689600 is an equidigital number, since it uses as much as digits as its factorization.

225689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 225689600 is about 15022.9690807110. The cubic root of 225689600 is about 608.8409415973.

The spelling of 225689600 in words is "two hundred twenty-five million, six hundred eighty-nine thousand, six hundred".