22171968 has 280 divisors, whose sum is σ = 82612992. Its totient is φ = 5723136.

The previous prime is 22171937. The next prime is 22171987. The reversal of 22171968 is 86917122.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (12096) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 471721 + ... + 471767.

Almost surely, 2^22171968 is an apocalyptic number.

22171968 is a gapful number since it is divisible by the number (28) 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 22171968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41306496).

22171968 is an abundant number, since it is smaller than the sum of its proper divisors (60441024).

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

22171968 is a wasteful number, since it uses less digits than its factorization.

22171968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 72 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 22171968 is about 4708.7119257818. The cubic root of 22171968 is about 280.9321315474.

The spelling of 22171968 in words is "twenty-two million, one hundred seventy-one thousand, nine hundred sixty-eight".