22261968 has 60 divisors (see below), whose sum is σ = 64325248. Its totient is φ = 7179840.

The previous prime is 22261951. The next prime is 22261969. The reversal of 22261968 is 86916222.

It is a happy number.

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22261969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1971 + ... + 6957.

Almost surely, 2^22261968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22261968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32162624).

22261968 is an abundant number, since it is smaller than the sum of its proper divisors (42063280).

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

22261968 is a wasteful number, since it uses less digits than its factorization.

22261968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5032 (or 5023 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 22261968 is about 4718.2590009452. The cubic root of 22261968 is about 281.3117363734.

The spelling of 22261968 in words is "twenty-two million, two hundred sixty-one thousand, nine hundred sixty-eight".