225888220800 has 2304 divisors, whose sum is σ = 1017384883200. Its totient is φ = 48660480000.

The previous prime is 225888220799. The next prime is 225888220843. The reversal of 225888220800 is 8022888522.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5509468780 + ... + 5509468820.

It is an arithmetic number, because the mean of its divisors is an integer number (441573300).

Almost surely, 2^225888220800 is an apocalyptic number.

225888220800 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 225888220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508692441600).

225888220800 is an abundant number, since it is smaller than the sum of its proper divisors (791496662400).

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

225888220800 is a wasteful number, since it uses less digits than its factorization.

225888220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 225888220800 in words is "two hundred twenty-five billion, eight hundred eighty-eight million, two hundred twenty thousand, eight hundred".