22812192 has 120 divisors (see below), whose sum is σ = 72357516. Its totient is φ = 7008768.

The previous prime is 22812151. The next prime is 22812193. The reversal of 22812192 is 29121822.

It can be written as a sum of positive squares in 2 ways, for example, as 22240656 + 571536 = 4716^2 + 756^2 .

It is a super-2 number, since 2×22812192² = 1040792207689728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (22812193) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33358 + ... + 34034.

Almost surely, 2^22812192 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 22812192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36178758).

22812192 is an abundant number, since it is smaller than the sum of its proper divisors (49545324).

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

22812192 is a wasteful number, since it uses less digits than its factorization.

22812192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 695 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 22812192 is about 4776.2110506132. The cubic root of 22812192 is about 283.6105221212.

The spelling of 22812192 in words is "twenty-two million, eight hundred twelve thousand, one hundred ninety-two".