22192 has 20 divisors (see below), whose sum is σ = 45880. Its totient is φ = 10368.

The previous prime is 22189. The next prime is 22193. The reversal of 22192 is 29122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 268 + ... + 340.

It is an arithmetic number, because the mean of its divisors is an integer number (2294).

2²²¹⁹² 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 22192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22940).

22192 is an abundant number, since it is smaller than the sum of its proper divisors (23688).

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

22192 is a wasteful number, since it uses less digits than its factorization.

22192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 94 counting only the distinct ones).

The product of its digits is 72, while the sum is 16.

The square root of 22192 is about 148.9697955963. The cubic root of 22192 is about 28.1016711898.

It can be divided in two parts, 221 and 92, that added together give a palindrome (313).

The spelling of 22192 in words is "twenty-two thousand, one hundred ninety-two".