225582237120 has 224 divisors, whose sum is σ = 758819155968. Its totient is φ = 56582029312.

The previous prime is 225582237077. The next prime is 225582237143. The reversal of 225582237120 is 21732285522.

It is a happy number.

225582237120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36015109 + ... + 36021371.

Almost surely, 2^225582237120 is an apocalyptic number.

225582237120 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 225582237120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379409577984).

225582237120 is an abundant number, since it is smaller than the sum of its proper divisors (533236918848).

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

225582237120 is a wasteful number, since it uses less digits than its factorization.

225582237120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8507 (or 8497 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 225582237120 in words is "two hundred twenty-five billion, five hundred eighty-two million, two hundred thirty-seven thousand, one hundred twenty".