22838112 has 168 divisors, whose sum is σ = 74367720. Its totient is φ = 6842880.

The previous prime is 22838111. The next prime is 22838113. The reversal of 22838112 is 21183822.

It is an interprime number because it is at equal distance from previous prime (22838111) and next prime (22838113).

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.

Its product of digits (1536) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22838111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 256564 + ... + 256652.

It is an arithmetic number, because the mean of its divisors is an integer number (442665).

Almost surely, 2^22838112 is an apocalyptic number.

22838112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22838112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37183860).

22838112 is an abundant number, since it is smaller than the sum of its proper divisors (51529608).

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

22838112 is an equidigital number, since it uses as much as digits as its factorization.

22838112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 105 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 22838112 is about 4778.9237282049. The cubic root of 22838112 is about 283.7178974853.

The spelling of 22838112 in words is "twenty-two million, eight hundred thirty-eight thousand, one hundred twelve".