225825600 has 672 divisors, whose sum is σ = 1015934976. Its totient is φ = 42393600.

The previous prime is 225825559. The next prime is 225825601. The reversal of 225825600 is 6528522.

225825600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225825601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4804777 + ... + 4804823.

It is an arithmetic number, because the mean of its divisors is an integer number (1511808).

Almost surely, 2^225825600 is an apocalyptic number.

225825600 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 225825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507967488).

225825600 is an abundant number, since it is smaller than the sum of its proper divisors (790109376).

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

225825600 is a wasteful number, since it uses less digits than its factorization.

225825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 225825600 is about 15027.4948011969. The cubic root of 225825600 is about 608.9632123938.

It can be divided in two parts, 22582 and 5600, that added together give a palindrome (28182).

The spelling of 225825600 in words is "two hundred twenty-five million, eight hundred twenty-five thousand, six hundred".