225304390080 has 1792 divisors, whose sum is σ = 1039413841920. Its totient is φ = 45148078080.

The previous prime is 225304390063. The next prime is 225304390093. The reversal of 225304390080 is 80093403522.

225304390080 is a `hidden beast` number, since 2 + 2 + 530 + 43 + 9 + 0 + 0 + 80 = 666.

225304390080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1993844104 + ... + 1993844216.

Almost surely, 2^225304390080 is an apocalyptic number.

225304390080 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 225304390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519706920960).

225304390080 is an abundant number, since it is smaller than the sum of its proper divisors (814109451840).

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

225304390080 is a wasteful number, since it uses less digits than its factorization.

225304390080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 225304390080 in words is "two hundred twenty-five billion, three hundred four million, three hundred ninety thousand, eighty".