225985200 has 120 divisors (see below), whose sum is σ = 827351808. Its totient is φ = 51651840.

The previous prime is 225985147. The next prime is 225985211. The reversal of 225985200 is 2589522.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5052 + ... + 21851.

Almost surely, 2^225985200 is an apocalyptic number.

225985200 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 225985200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413675904).

225985200 is an abundant number, since it is smaller than the sum of its proper divisors (601366608).

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

225985200 is a wasteful number, since it uses less digits than its factorization.

225985200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26931 (or 26920 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 225985200 is about 15032.8041296360. The cubic root of 225985200 is about 609.1066381784.

The spelling of 225985200 in words is "two hundred twenty-five million, nine hundred eighty-five thousand, two hundred".