225680900 has 72 divisors (see below), whose sum is σ = 515592000. Its totient is φ = 85617280.

The previous prime is 225680893. The next prime is 225680921. The reversal of 225680900 is 9086522.

225680900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 170441 + ... + 171759.

It is an arithmetic number, because the mean of its divisors is an integer number (7161000).

Almost surely, 2^225680900 is an apocalyptic number.

225680900 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 225680900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257796000).

225680900 is an abundant number, since it is smaller than the sum of its proper divisors (289911100).

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

225680900 is a wasteful number, since it uses less digits than its factorization.

225680900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 225680900 is about 15022.6795213104. The cubic root of 225680900 is about 608.8331181911.

The spelling of 225680900 in words is "two hundred twenty-five million, six hundred eighty thousand, nine hundred".