225517800 has 96 divisors (see below), whose sum is σ = 715445280. Its totient is φ = 58732800.

The previous prime is 225517759. The next prime is 225517807. The reversal of 225517800 is 8715522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (225517807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21430 + ... + 30170.

It is an arithmetic number, because the mean of its divisors is an integer number (7452555).

Almost surely, 2^225517800 is an apocalyptic number.

225517800 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 225517800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357722640).

225517800 is an abundant number, since it is smaller than the sum of its proper divisors (489927480).

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

225517800 is a wasteful number, since it uses less digits than its factorization.

225517800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8803 (or 8794 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 225517800 is about 15017.2500811567. The cubic root of 225517800 is about 608.6864145744.

The spelling of 225517800 in words is "two hundred twenty-five million, five hundred seventeen thousand, eight hundred".