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22663 = 131173
BaseRepresentation
bin101100010000111
31011002101
411202013
51211123
6252531
7123034
oct54207
934071
1022663
1116033
1211147
13a414
14838b
156aad
hex5887

22663 has 4 divisors (see below), whose sum is σ = 22968. Its totient is φ = 22360.

The previous prime is 22651. The next prime is 22669. The reversal of 22663 is 36622.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 36622 = 218311.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22663 is a prime.

It is a super-2 number, since 2×226632 = 1027223138, which contains 22 as substring.

It is a d-powerful number, because it can be written as 27 + 213 + 6 + 65 + 38 .

It is a Duffinian number.

It is a plaindrome in base 12 and base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 22663.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22669) 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, 45 + ... + 217.

It is an arithmetic number, because the mean of its divisors is an integer number (5742).

222663 is an apocalyptic number.

22663 is a deficient number, since it is larger than the sum of its proper divisors (305).

22663 is a wasteful number, since it uses less digits than its factorization.

22663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304.

The product of its digits is 432, while the sum is 19.

The square root of 22663 is about 150.5423528446. The cubic root of 22663 is about 28.2990897334.

It can be divided in two parts, 226 and 63, that added together give a square (289 = 172).

The spelling of 22663 in words is "twenty-two thousand, six hundred sixty-three".

Divisors: 1 131 173 22663