22304268000 has 768 divisors, whose sum is σ = 93870766080. Its totient is φ = 5038848000.

The previous prime is 22304267987. The next prime is 22304268013. The reversal of 22304268000 is 86240322.

22304268000 is a `hidden beast` number, since 2 + 230 + 426 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22304267987) and next prime (22304268013).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 123227910 + ... + 123228090.

It is an arithmetic number, because the mean of its divisors is an integer number (122227560).

Almost surely, 2^22304268000 is an apocalyptic number.

22304268000 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 22304268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46935383040).

22304268000 is an abundant number, since it is smaller than the sum of its proper divisors (71566498080).

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

22304268000 is a wasteful number, since it uses less digits than its factorization.

22304268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 22304268000 in words is "twenty-two billion, three hundred four million, two hundred sixty-eight thousand".