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22836 = 22311173

22836 has 24 divisors (see below), whose sum is σ = 58464. Its totient is φ = 6880.

The previous prime is 22817. The next prime is 22853. The reversal of 22836 is 63822.

22836 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a congruent number.

It is an unprimeable number.

22836 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 46 + ... + 218.

It is an arithmetic number, because the mean of its divisors is an integer number (2436).

222836 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 22836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29232).

22836 is an abundant number, since it is smaller than the sum of its proper divisors (35628).

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

22836 is a wasteful number, since it uses less digits than its factorization.

22836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 189 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 22836 is about 151.1158495989. The cubic root of 22836 is about 28.3709151423.

It can be divided in two parts, 22 and 836, that added together give a palindrome (858).

The spelling of 22836 in words is "twenty-two thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 173 346 519 692 1038 1903 2076 3806 5709 7612 11418 22836