22332404400100 has 144 divisors (see below), whose sum is σ = 49954728192768. Its totient is φ = 8659503452160.

The previous prime is 22332404400049. The next prime is 22332404400101. The reversal of 22332404400100 is 100440423322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (22332404400101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1675719637 + ... + 1675732963.

It is an arithmetic number, because the mean of its divisors is an integer number (346907834672).

Almost surely, 2^{22332404400100} is an apocalyptic number.

22332404400100 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 22332404400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24977364096384).

22332404400100 is an abundant number, since it is smaller than the sum of its proper divisors (27622323792668).

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

22332404400100 is a wasteful number, since it uses less digits than its factorization.

22332404400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15014 (or 15007 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 22332404400100 its reverse (100440423322), we get a palindrome (22432844823422).

The spelling of 22332404400100 in words is "twenty-two trillion, three hundred thirty-two billion, four hundred four million, four hundred thousand, one hundred".