22946112 has 168 divisors, whose sum is σ = 78760320. Its totient is φ = 6531840.

The previous prime is 22946083. The next prime is 22946113. The reversal of 22946112 is 21164922.

It is a tau number, because it is divible by the number of its divisors (168).

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22946113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84537 + ... + 84807.

Almost surely, 2^22946112 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 22946112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39380160).

22946112 is an abundant number, since it is smaller than the sum of its proper divisors (55814208).

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

22946112 is a wasteful number, since it uses less digits than its factorization.

22946112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 283 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 22946112 is about 4790.2100162728. The cubic root of 22946112 is about 284.1644224111.

The spelling of 22946112 in words is "twenty-two million, nine hundred forty-six thousand, one hundred twelve".