22400344224 has 72 divisors (see below), whose sum is σ = 63760155732. Its totient is φ = 7459845120.

The previous prime is 22400344223. The next prime is 22400344231. The reversal of 22400344224 is 42244300422.

22400344224 is a `hidden beast` number, since 2 + 2 + 400 + 34 + 4 + 224 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18338576400 + 4061767824 = 135420^2 + 63732^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (22400344223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279204 + ... + 350364.

Almost surely, 2^22400344224 is an apocalyptic number.

22400344224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22400344224 is an abundant number, since it is smaller than the sum of its proper divisors (41359811508).

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

22400344224 is a wasteful number, since it uses less digits than its factorization.

22400344224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72270 (or 72259 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 22400344224 its reverse (42244300422), we get a palindrome (64644644646).

The spelling of 22400344224 in words is "twenty-two billion, four hundred million, three hundred forty-four thousand, two hundred twenty-four".