22222132400 has 120 divisors (see below), whose sum is σ = 57717660000. Its totient is φ = 8173393920.

The previous prime is 22222132399. The next prime is 22222132417. The reversal of 22222132400 is 423122222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1359476 + ... + 1375724.

It is an arithmetic number, because the mean of its divisors is an integer number (480980500).

Almost surely, 2^22222132400 is an apocalyptic number.

22222132400 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 22222132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28858830000).

22222132400 is an abundant number, since it is smaller than the sum of its proper divisors (35495527600).

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

22222132400 is a wasteful number, since it uses less digits than its factorization.

22222132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16543 (or 16532 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22222132400 its reverse (423122222), we get a palindrome (22645254622).

The spelling of 22222132400 in words is "twenty-two billion, two hundred twenty-two million, one hundred thirty-two thousand, four hundred".