22005310400 has 84 divisors (see below), whose sum is σ = 54269182800. Its totient is φ = 8782233600.

The previous prime is 22005310399. The next prime is 22005310429. The reversal of 22005310400 is 401350022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 703085 + ... + 733715.

It is an arithmetic number, because the mean of its divisors is an integer number (646061700).

Almost surely, 2^22005310400 is an apocalyptic number.

22005310400 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 22005310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27134591400).

22005310400 is an abundant number, since it is smaller than the sum of its proper divisors (32263872400).

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

22005310400 is a wasteful number, since it uses less digits than its factorization.

22005310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31102 (or 31087 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 22005310400 its reverse (401350022), we get a palindrome (22406660422).

The spelling of 22005310400 in words is "twenty-two billion, five million, three hundred ten thousand, four hundred".