22930214400 has 480 divisors, whose sum is σ = 86178174720. Its totient is φ = 5968650240.

The previous prime is 22930214399. The next prime is 22930214407. The reversal of 22930214400 is 441203922.

22930214400 is a `hidden beast` number, since 229 + 30 + 2 + 1 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22930214407) 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 47 ways as a sum of consecutive naturals, for example, 14860029 + ... + 14861571.

It is an arithmetic number, because the mean of its divisors is an integer number (179537864).

Almost surely, 2^22930214400 is an apocalyptic number.

22930214400 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 22930214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43089087360).

22930214400 is an abundant number, since it is smaller than the sum of its proper divisors (63247960320).

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

22930214400 is a wasteful number, since it uses less digits than its factorization.

22930214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 22930214400 in words is "twenty-two billion, nine hundred thirty million, two hundred fourteen thousand, four hundred".