225811200 has 216 divisors, whose sum is σ = 785713600. Its totient is φ = 56954880.

The previous prime is 225811163. The next prime is 225811213. The reversal of 225811200 is 2118522.

It is a happy number.

225811200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 364491 + ... + 365109.

Almost surely, 2^225811200 is an apocalyptic number.

225811200 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 225811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392856800).

225811200 is an abundant number, since it is smaller than the sum of its proper divisors (559902400).

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

225811200 is a wasteful number, since it uses less digits than its factorization.

225811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 225811200 is about 15027.0156717826. The cubic root of 225811200 is about 608.9502683983.

Adding to 225811200 its reverse (2118522), we get a palindrome (227929722).

The spelling of 225811200 in words is "two hundred twenty-five million, eight hundred eleven thousand, two hundred".