22714272000 has 864 divisors, whose sum is σ = 98490712320. Its totient is φ = 4910284800.

The previous prime is 22714271911. The next prime is 22714272017. The reversal of 22714272000 is 27241722.

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 95 ways as a sum of consecutive naturals, for example, 38303704 + ... + 38304296.

It is an arithmetic number, because the mean of its divisors is an integer number (113993880).

Almost surely, 2^22714272000 is an apocalyptic number.

22714272000 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 22714272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49245356160).

22714272000 is an abundant number, since it is smaller than the sum of its proper divisors (75776440320).

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

22714272000 is a wasteful number, since it uses less digits than its factorization.

22714272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The spelling of 22714272000 in words is "twenty-two billion, seven hundred fourteen million, two hundred seventy-two thousand".