22442214400 has 132 divisors (see below), whose sum is σ = 57426046720. Its totient is φ = 8687001600.

The previous prime is 22442214349. The next prime is 22442214451. The reversal of 22442214400 is 441224422.

It is an interprime number because it is at equal distance from previous prime (22442214349) and next prime (22442214451).

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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 779461 + ... + 807739.

Almost surely, 2^22442214400 is an apocalyptic number.

22442214400 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 22442214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28713023360).

22442214400 is an abundant number, since it is smaller than the sum of its proper divisors (34983832320).

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

22442214400 is a wasteful number, since it uses less digits than its factorization.

22442214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28340 (or 28317 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 22442214400 its reverse (441224422), we get a palindrome (22883438822).

The spelling of 22442214400 in words is "twenty-two billion, four hundred forty-two million, two hundred fourteen thousand, four hundred".