22301224440 has 128 divisors (see below), whose sum is σ = 73589541120. Its totient is φ = 5406318720.

The previous prime is 22301224399. The next prime is 22301224453. The reversal of 22301224440 is 4442210322.

It is a super-2 number, since 2×22301224440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22301224440.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 89907 + ... + 229533.

It is an arithmetic number, because the mean of its divisors is an integer number (574918290).

Almost surely, 2^22301224440 is an apocalyptic number.

22301224440 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 22301224440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36794770560).

22301224440 is an abundant number, since it is smaller than the sum of its proper divisors (51288316680).

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

22301224440 is a wasteful number, since it uses less digits than its factorization.

22301224440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139674 (or 139648 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22301224440 its reverse (4442210322), we get a palindrome (26743434762).

The spelling of 22301224440 in words is "twenty-two billion, three hundred one million, two hundred twenty-four thousand, four hundred forty".