202222400400 has 90 divisors (see below), whose sum is σ = 701767914770. Its totient is φ = 53925972480.

The previous prime is 202222400339. The next prime is 202222400441. The reversal of 202222400400 is 4004222202.

202222400400 is a `hidden beast` number, since 2 + 0 + 2 + 22 + 240 + 0 + 400 = 666.

202222400400 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 3 ways, for example, as 1672482816 + 200549917584 = 40896^2 + 447828^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 28082845 + ... + 28090044.

Almost surely, 2^202222400400 is an apocalyptic number.

202222400400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202222400400 is an abundant number, since it is smaller than the sum of its proper divisors (499545514370).

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

202222400400 is a wasteful number, since it uses less digits than its factorization.

202222400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56172913 (or 56172899 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 202222400400 its reverse (4004222202), we get a palindrome (206226622602).

The spelling of 202222400400 in words is "two hundred two billion, two hundred twenty-two million, four hundred thousand, four hundred".