22240664400 has 120 divisors (see below), whose sum is σ = 71979115264. Its totient is φ = 5869670400.

The previous prime is 22240664387. The next prime is 22240664401. The reversal of 22240664400 is 446604222.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22240664401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20865 + ... + 211935.

Almost surely, 2^22240664400 is an apocalyptic number.

22240664400 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 22240664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35989557632).

22240664400 is an abundant number, since it is smaller than the sum of its proper divisors (49738450864).

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

22240664400 is a wasteful number, since it uses less digits than its factorization.

22240664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191189 (or 191178 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 22240664400 in words is "twenty-two billion, two hundred forty million, six hundred sixty-four thousand, four hundred".