22228981632 has 960 divisors, whose sum is σ = 82730894400. Its totient is φ = 5875752960.

The previous prime is 22228981597. The next prime is 22228981651. The reversal of 22228981632 is 23618982222.

22228981632 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 8 + 9 + 8 + 1 + 632 = 666.

It is a nude number because it is divisible by every one of its digits.

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 119 ways as a sum of consecutive naturals, for example, 472957033 + ... + 472957079.

It is an arithmetic number, because the mean of its divisors is an integer number (86178015).

Almost surely, 2^22228981632 is an apocalyptic number.

22228981632 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 22228981632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41365447200).

22228981632 is an abundant number, since it is smaller than the sum of its proper divisors (60501912768).

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

22228981632 is a wasteful number, since it uses less digits than its factorization.

22228981632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 105 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 22228981632 in words is "twenty-two billion, two hundred twenty-eight million, nine hundred eighty-one thousand, six hundred thirty-two".