202225561000 has 32 divisors (see below), whose sum is σ = 473207815080. Its totient is φ = 80890224000.

The previous prime is 202225560997. The next prime is 202225561081. The reversal of 202225561000 is 165522202.

It is a happy number.

202225561000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 134954839044 + 67270721956 = 367362^2 + 259366^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 7 ways as a sum of consecutive naturals, for example, 101111781 + ... + 101113780.

Almost surely, 2^202225561000 is an apocalyptic number.

202225561000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202225561000 is an abundant number, since it is smaller than the sum of its proper divisors (270982254080).

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

202225561000 is a wasteful number, since it uses less digits than its factorization.

202225561000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202225582 (or 202225568 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 202225561000 in words is "two hundred two billion, two hundred twenty-five million, five hundred sixty-one thousand".