225868800 has 264 divisors, whose sum is σ = 794989296. Its totient is φ = 56360960.

The previous prime is 225868777. The next prime is 225868801. The reversal of 225868800 is 8868522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225868801) by changing a digit.

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, 1305514 + ... + 1305686.

Almost surely, 2^225868800 is an apocalyptic number.

225868800 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 225868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397494648).

225868800 is an abundant number, since it is smaller than the sum of its proper divisors (569120496).

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

225868800 is a wasteful number, since it uses less digits than its factorization.

225868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 225868800 is about 15028.9320977906. The cubic root of 225868800 is about 609.0020410791.

The spelling of 225868800 in words is "two hundred twenty-five million, eight hundred sixty-eight thousand, eight hundred".