22112 has 12 divisors (see below), whose sum is σ = 43596. Its totient is φ = 11040.

The previous prime is 22111. The next prime is 22123. The reversal of 22112 is 21122.

It is a Harshad number since it is a multiple of its sum of digits (8).

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.

It is a self number, because there is not a number *n* which added to its sum of digits gives 22112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 314 + ... + 377.

It is an arithmetic number, because the mean of its divisors is an integer number (3633).

2^{22112} is an apocalyptic number.

It is an amenable number.

22112 is a deficient number, since it is larger than the sum of its proper divisors (21484).

22112 is an equidigital number, since it uses as much as digits as its factorization.

22112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 693 counting only the distinct ones).

The product of its digits is 8, while the sum is 8.

The square root of 22112 is about 148.7010423635. The cubic root of 22112 is about 28.0678626018.

Adding to 22112 its reverse (21122), we get a palindrome (43234).

Subtracting from 22112 its reverse (21122), we obtain a triangular number (990 = T_{44}).

It can be divided in two parts, 2 and 2112, that multiplied together give a palindrome (4224).

The spelling of 22112 in words is "twenty-two thousand, one hundred twelve", and thus it is an iban number.

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