202225115522400 has 144 divisors (see below), whose sum is σ = 680940777157200. Its totient is φ = 52067156162560.

The previous prime is 202225115522369. The next prime is 202225115522401. The reversal of 202225115522400 is 4225511522202.

202225115522400 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 not an unprimeable number, because it can be changed into a prime (202225115522401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1452697035 + ... + 1452836234.

It is an arithmetic number, because the mean of its divisors is an integer number (4728755396925).

Almost surely, 2^{202225115522400} is an apocalyptic number.

202225115522400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202225115522400 is an abundant number, since it is smaller than the sum of its proper divisors (478715661634800).

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

202225115522400 is a wasteful number, since it uses less digits than its factorization.

202225115522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905533321 (or 2905533308 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The spelling of 202225115522400 in words is "two hundred two trillion, two hundred twenty-five billion, one hundred fifteen million, five hundred twenty-two thousand, four hundred".