22200424444100 has 144 divisors (see below), whose sum is σ = 55280480572800. Its totient is φ = 7580704773120.

The previous prime is 22200424444087. The next prime is 22200424444111. The reversal of 22200424444100 is 144442400222.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 603106496 + ... + 603143304.

It is an arithmetic number, because the mean of its divisors is an integer number (383892226200).

Almost surely, 2^{22200424444100} is an apocalyptic number.

22200424444100 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 22200424444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27640240286400).

22200424444100 is an abundant number, since it is smaller than the sum of its proper divisors (33080056128700).

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

22200424444100 is a wasteful number, since it uses less digits than its factorization.

22200424444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40302 (or 40295 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 22200424444100 its reverse (144442400222), we get a palindrome (22344866844322).

The spelling of 22200424444100 in words is "twenty-two trillion, two hundred billion, four hundred twenty-four million, four hundred forty-four thousand, one hundred".