22113403400 has 144 divisors (see below), whose sum is σ = 56642351220. Its totient is φ = 8022784000.

The previous prime is 22113403369. The next prime is 22113403447. The reversal of 22113403400 is 430431122.

It can be written as a sum of positive squares in 6 ways, for example, as 1934064484 + 20179338916 = 43978^2 + 142054^2 .

It is a super-2 number, since 2×22113403400² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14930660 + ... + 14932140.

Almost surely, 2^22113403400 is an apocalyptic number.

22113403400 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 22113403400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28321175610).

22113403400 is an abundant number, since it is smaller than the sum of its proper divisors (34528947820).

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

22113403400 is a wasteful number, since it uses less digits than its factorization.

22113403400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22113403400 its reverse (430431122), we get a palindrome (22543834522).

The spelling of 22113403400 in words is "twenty-two billion, one hundred thirteen million, four hundred three thousand, four hundred".