22251105732 has 144 divisors (see below), whose sum is σ = 58229357760. Its totient is φ = 6599625984.

The previous prime is 22251105731. The next prime is 22251105733. The reversal of 22251105732 is 23750115222.

It is an interprime number because it is at equal distance from previous prime (22251105731) and next prime (22251105733).

It is a super-2 number, since 2×22251105732² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22251105732.

It is not an unprimeable number, because it can be changed into a prime (22251105731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4645843 + ... + 4650629.

It is an arithmetic number, because the mean of its divisors is an integer number (404370540).

Almost surely, 2^22251105732 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22251105732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29114678880).

22251105732 is an abundant number, since it is smaller than the sum of its proper divisors (35978252028).

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

22251105732 is a wasteful number, since it uses less digits than its factorization.

22251105732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4898 (or 4877 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The spelling of 22251105732 in words is "twenty-two billion, two hundred fifty-one million, one hundred five thousand, seven hundred thirty-two".