22320790272 has 504 divisors, whose sum is σ = 74314836288. Its totient is φ = 6631372800.

The previous prime is 22320790249. The next prime is 22320790301. The reversal of 22320790272 is 27209702322.

It is a happy number.

It is a super-3 number, since 3×22320790272³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 170387647 + ... + 170387777.

It is an arithmetic number, because the mean of its divisors is an integer number (147450072).

Almost surely, 2^22320790272 is an apocalyptic number.

22320790272 is a gapful number since it is divisible by the number (22) 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 22320790272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37157418144).

22320790272 is an abundant number, since it is smaller than the sum of its proper divisors (51994046016).

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

22320790272 is an equidigital number, since it uses as much as digits as its factorization.

22320790272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 22320790272 in words is "twenty-two billion, three hundred twenty million, seven hundred ninety thousand, two hundred seventy-two".