225896976900 has 576 divisors, whose sum is σ = 860644915200. Its totient is φ = 49752092160.

The previous prime is 225896976859. The next prime is 225896976911. The reversal of 225896976900 is 9679698522.

It is a super-2 number, since 2×225896976900² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74823591 + ... + 74826609.

It is an arithmetic number, because the mean of its divisors is an integer number (1494175200).

Almost surely, 2^225896976900 is an apocalyptic number.

225896976900 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 225896976900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430322457600).

225896976900 is an abundant number, since it is smaller than the sum of its proper divisors (634747938300).

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

225896976900 is a wasteful number, since it uses less digits than its factorization.

225896976900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3193 (or 3180 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 225896976900 in words is "two hundred twenty-five billion, eight hundred ninety-six million, nine hundred seventy-six thousand, nine hundred".