22135488400 has 135 divisors (see below), whose sum is σ = 54762564819. Its totient is φ = 8598293760.

The previous prime is 22135488379. The next prime is 22135488407. The reversal of 22135488400 is 488453122.

It is a happy number.

The square root of 22135488400 is 148780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2436804496 + 19698683904 = 49364^2 + 140352^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22135488400.

It is not an unprimeable number, because it can be changed into a prime (22135488407) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 127950714 + ... + 127950886.

Almost surely, 2^22135488400 is an apocalyptic number.

22135488400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22135488400 is the 148780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22135488400

22135488400 is an abundant number, since it is smaller than the sum of its proper divisors (32627076419).

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

22135488400 is an equidigital number, since it uses as much as digits as its factorization.

22135488400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The spelling of 22135488400 in words is "twenty-two billion, one hundred thirty-five million, four hundred eighty-eight thousand, four hundred".