22122168 has 64 divisors (see below), whose sum is σ = 59616000. Its totient is φ = 6815232.

The previous prime is 22122103. The next prime is 22122169. The reversal of 22122168 is 86122122.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (22122169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23613 + ... + 24531.

It is an arithmetic number, because the mean of its divisors is an integer number (931500).

Almost surely, 2^22122168 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 22122168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29808000).

22122168 is an abundant number, since it is smaller than the sum of its proper divisors (37493832).

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

22122168 is a wasteful number, since it uses less digits than its factorization.

22122168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 1000 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 22122168 is about 4703.4208827193. The cubic root of 22122168 is about 280.7216419212.

The spelling of 22122168 in words is "twenty-two million, one hundred twenty-two thousand, one hundred sixty-eight".