225628852900 has 72 divisors (see below), whose sum is σ = 534679903296. Its totient is φ = 81961622400.

The previous prime is 225628852843. The next prime is 225628852913. The reversal of 225628852900 is 9258826522.

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, 957642 + ... + 1169758.

It is an arithmetic number, because the mean of its divisors is an integer number (7426109768).

Almost surely, 2^225628852900 is an apocalyptic number.

225628852900 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 225628852900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267339951648).

225628852900 is an abundant number, since it is smaller than the sum of its proper divisors (309051050396).

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

225628852900 is a wasteful number, since it uses less digits than its factorization.

225628852900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213109 (or 213102 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

The spelling of 225628852900 in words is "two hundred twenty-five billion, six hundred twenty-eight million, eight hundred fifty-two thousand, nine hundred".