22251791232 has 640 divisors, whose sum is σ = 79976160000. Its totient is φ = 6058229760.

The previous prime is 22251791207. The next prime is 22251791311. The reversal of 22251791232 is 23219715222.

22251791232 is a `hidden beast` number, since 2 + 22 + 517 + 91 + 2 + 32 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44592519 + ... + 44593017.

It is an arithmetic number, because the mean of its divisors is an integer number (124962750).

Almost surely, 2^22251791232 is an apocalyptic number.

22251791232 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 22251791232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39988080000).

22251791232 is an abundant number, since it is smaller than the sum of its proper divisors (57724368768).

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

22251791232 is a wasteful number, since it uses less digits than its factorization.

22251791232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 555 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The spelling of 22251791232 in words is "twenty-two billion, two hundred fifty-one million, seven hundred ninety-one thousand, two hundred thirty-two".