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22165 = 5111331
BaseRepresentation
bin101011010010101
31010101221
411122111
51202130
6250341
7121423
oct53225
933357
1022165
1115720
12109b1
13a120
148113
15687a
hex5695

22165 has 16 divisors (see below), whose sum is σ = 32256. Its totient is φ = 14400.

The previous prime is 22159. The next prime is 22171. The reversal of 22165 is 56122.

It is a happy number.

22165 is nontrivially palindromic in base 4.

22165 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (22159) and next prime (22171).

It is not a de Polignac number, because 22165 - 23 = 22157 is a prime.

It is a Duffinian number.

Its product of digits (120) is a multiple of the sum of its prime divisors (60).

22165 is strictly pandigital in base 6.

22165 is a lucky number.

It is a plaindrome in base 9.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 700 + ... + 730.

It is an arithmetic number, because the mean of its divisors is an integer number (2016).

222165 is an apocalyptic number.

It is an amenable number.

22165 is a deficient number, since it is larger than the sum of its proper divisors (10091).

22165 is a wasteful number, since it uses less digits than its factorization.

22165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60.

The product of its digits is 120, while the sum is 16.

The square root of 22165 is about 148.8791456182. The cubic root of 22165 is about 28.0902698884.

Adding to 22165 its reverse (56122), we get a palindrome (78287).

It can be divided in two parts, 221 and 65, that multiplied together give a triangular number (14365 = T169).

The spelling of 22165 in words is "twenty-two thousand, one hundred sixty-five".

Divisors: 1 5 11 13 31 55 65 143 155 341 403 715 1705 2015 4433 22165