22252100640 has 384 divisors, whose sum is σ = 88507883520. Its totient is φ = 4564684800.

The previous prime is 22252100639. The next prime is 22252100641. The reversal of 22252100640 is 4600125222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22252100639) and next prime (22252100641).

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 22252100640.

It is not an unprimeable number, because it can be changed into a prime (22252100641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2916030 + ... + 2923650.

It is an arithmetic number, because the mean of its divisors is an integer number (230489280).

Almost surely, 2^22252100640 is an apocalyptic number.

22252100640 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 22252100640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44253941760).

22252100640 is an abundant number, since it is smaller than the sum of its proper divisors (66255782880).

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

22252100640 is a wasteful number, since it uses less digits than its factorization.

22252100640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7736 (or 7728 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 22252100640 its reverse (4600125222), we get a palindrome (26852225862).

The spelling of 22252100640 in words is "twenty-two billion, two hundred fifty-two million, one hundred thousand, six hundred forty".