22132213400 has 96 divisors (see below), whose sum is σ = 56846361600. Its totient is φ = 7946140800.

The previous prime is 22132213357. The next prime is 22132213421. The reversal of 22132213400 is 431223122.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110129 + ... + 237471.

It is an arithmetic number, because the mean of its divisors is an integer number (592149600).

Almost surely, 2^22132213400 is an apocalyptic number.

22132213400 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 22132213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28423180800).

22132213400 is an abundant number, since it is smaller than the sum of its proper divisors (34714148200).

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

22132213400 is a wasteful number, since it uses less digits than its factorization.

22132213400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127449 (or 127440 counting only the distinct ones).

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

Adding to 22132213400 its reverse (431223122), we get a palindrome (22563436522).

It can be divided in two parts, 22132 and 213400, that added together give a palindrome (235532).

The spelling of 22132213400 in words is "twenty-two billion, one hundred thirty-two million, two hundred thirteen thousand, four hundred".