22382112 has 72 divisors (see below), whose sum is σ = 60603984. Its totient is φ = 7231744.

The previous prime is 22382083. The next prime is 22382117. The reversal of 22382112 is 21128322.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22382117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 269623 + ... + 269705.

It is an arithmetic number, because the mean of its divisors is an integer number (841722).

Almost surely, 2^22382112 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 22382112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30301992).

22382112 is an abundant number, since it is smaller than the sum of its proper divisors (38221872).

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

22382112 is an equidigital number, since it uses as much as digits as its factorization.

22382112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 141 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 22382112 is about 4730.9736841373. The cubic root of 22382112 is about 281.8168923474.

The spelling of 22382112 in words is "twenty-two million, three hundred eighty-two thousand, one hundred twelve".