225180900 has 216 divisors, whose sum is σ = 833391104. Its totient is φ = 49766400.

The previous prime is 225180899. The next prime is 225180919. The reversal of 225180900 is 9081522.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 194724 + ... + 195876.

Almost surely, 2^225180900 is an apocalyptic number.

225180900 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 225180900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416695552).

225180900 is an abundant number, since it is smaller than the sum of its proper divisors (608210204).

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

225180900 is a wasteful number, since it uses less digits than its factorization.

225180900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 225180900 is about 15006.0287884570. The cubic root of 225180900 is about 608.3831589055.

The spelling of 225180900 in words is "two hundred twenty-five million, one hundred eighty thousand, nine hundred".