22154422400 has 288 divisors, whose sum is σ = 62261835300. Its totient is φ = 7774412800.

The previous prime is 22154422399. The next prime is 22154422483. The reversal of 22154422400 is 422445122.

It can be written as a sum of positive squares in 6 ways, for example, as 5169034816 + 16985387584 = 71896^2 + 130328^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22154422400.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11227814 + ... + 11229786.

Almost surely, 2^22154422400 is an apocalyptic number.

22154422400 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 22154422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31130917650).

22154422400 is an abundant number, since it is smaller than the sum of its proper divisors (40107412900).

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

22154422400 is a wasteful number, since it uses less digits than its factorization.

22154422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 22154422400 its reverse (422445122), we get a palindrome (22576867522).

The spelling of 22154422400 in words is "twenty-two billion, one hundred fifty-four million, four hundred twenty-two thousand, four hundred".