225088792200 has 288 divisors, whose sum is σ = 769428878400. Its totient is φ = 58954176000.

The previous prime is 225088792183. The next prime is 225088792207. The reversal of 225088792200 is 2297880522.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (225088792207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 119790861 + ... + 119792739.

It is an arithmetic number, because the mean of its divisors is an integer number (2671628050).

Almost surely, 2^225088792200 is an apocalyptic number.

225088792200 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 225088792200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384714439200).

225088792200 is an abundant number, since it is smaller than the sum of its proper divisors (544340086200).

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

225088792200 is a wasteful number, since it uses less digits than its factorization.

225088792200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 225088792200 in words is "two hundred twenty-five billion, eighty-eight million, seven hundred ninety-two thousand, two hundred".