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22812 = 2231901
BaseRepresentation
bin101100100011100
31011021220
411210130
51212222
6253340
7123336
oct54434
934256
1022812
1116159
1211250
13a4ca
148456
156b5c
hex591c

22812 has 12 divisors (see below), whose sum is σ = 53256. Its totient is φ = 7600.

The previous prime is 22811. The next prime is 22817. The reversal of 22812 is 21822.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 22791 and 22800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22811) 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, 939 + ... + 962.

It is an arithmetic number, because the mean of its divisors is an integer number (4438).

222812 is an apocalyptic number.

It is an amenable number.

22812 is an abundant number, since it is smaller than the sum of its proper divisors (30444).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26628).

22812 is a wasteful number, since it uses less digits than its factorization.

22812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1906 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 22812 is about 151.0364194491. The cubic root of 22812 is about 28.3609726445.

Subtracting from 22812 its reverse (21822), we obtain a triangular number (990 = T44).

The spelling of 22812 in words is "twenty-two thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 12 1901 3802 5703 7604 11406 22812