225855600 has 120 divisors (see below), whose sum is σ = 730667520. Its totient is φ = 59631360.

The previous prime is 225855587. The next prime is 225855629. The reversal of 225855600 is 6558522.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127521 + ... + 129279.

It is an arithmetic number, because the mean of its divisors is an integer number (6088896).

Almost surely, 2^225855600 is an apocalyptic number.

225855600 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 225855600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365333760).

225855600 is an abundant number, since it is smaller than the sum of its proper divisors (504811920).

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

225855600 is a wasteful number, since it uses less digits than its factorization.

225855600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 225855600 is about 15028.4929384153. The cubic root of 225855600 is about 608.9901772839.

The spelling of 225855600 in words is "two hundred twenty-five million, eight hundred fifty-five thousand, six hundred".