2242112 has 28 divisors (see below), whose sum is σ = 4539996. Its totient is φ = 1098240.

The previous prime is 2242111. The next prime is 2242127. The reversal of 2242112 is 2112422.

2242112 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 1700416 + 541696 = 1304^2 + 736^2 .

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 not an unprimeable number, because it can be changed into a prime (2242111) 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, 3062 + ... + 3722.

2^2242112 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 2242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269998).

2242112 is an abundant number, since it is smaller than the sum of its proper divisors (2297884).

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

2242112 is an equidigital number, since it uses as much as digits as its factorization.

2242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 716 counting only the distinct ones).

The product of its digits is 64, while the sum is 14.

The square root of 2242112 is about 1497.3683581537. The cubic root of 2242112 is about 130.8837614667.

Adding to 2242112 its reverse (2112422), we get a palindrome (4354534).

The spelling of 2242112 in words is "two million, two hundred forty-two thousand, one hundred twelve".