22284976000 has 512 divisors, whose sum is σ = 68006615040. Its totient is φ = 7096320000.

The previous prime is 22284975961. The next prime is 22284976019. The reversal of 22284976000 is 67948222.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105615895 + ... + 105616105.

It is an arithmetic number, because the mean of its divisors is an integer number (132825420).

Almost surely, 2^22284976000 is an apocalyptic number.

22284976000 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 22284976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34003307520).

22284976000 is an abundant number, since it is smaller than the sum of its proper divisors (45721639040).

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

22284976000 is a wasteful number, since it uses less digits than its factorization.

22284976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 22284976000 in words is "twenty-two billion, two hundred eighty-four million, nine hundred seventy-six thousand".