22897459200 has 768 divisors, whose sum is σ = 95175694080. Its totient is φ = 4757913600.

The previous prime is 22897459157. The next prime is 22897459219. The reversal of 22897459200 is 295479822.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 22897459200.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 4400 × 1232 × 4224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2081587195 + ... + 2081587205.

It is an arithmetic number, because the mean of its divisors is an integer number (123926685).

Almost surely, 2^22897459200 is an apocalyptic number.

22897459200 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 22897459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47587847040).

22897459200 is an abundant number, since it is smaller than the sum of its proper divisors (72278234880).

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

22897459200 is an frugal number, since it uses more digits than its factorization.

22897459200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 22897459200 in words is "twenty-two billion, eight hundred ninety-seven million, four hundred fifty-nine thousand, two hundred".