Search a number
-
+
22109 is a prime number
BaseRepresentation
bin101011001011101
31010022212
411121131
51201414
6250205
7121313
oct53135
933285
1022109
111567a
1210965
13a0a9
1480b3
15683e
hex565d

22109 has 2 divisors, whose sum is σ = 22110. Its totient is φ = 22108.

The previous prime is 22093. The next prime is 22111. The reversal of 22109 is 90122.

22109 is nontrivially palindromic in base 8.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14884 + 7225 = 122^2 + 85^2 .

It is a cyclic number.

It is not a de Polignac number, because 22109 - 24 = 22093 is a prime.

Together with 22111, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 22093 and 22102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11054 + 11055.

It is an arithmetic number, because the mean of its divisors is an integer number (11055).

222109 is an apocalyptic number.

It is an amenable number.

22109 is a deficient number, since it is larger than the sum of its proper divisors (1).

22109 is an equidigital number, since it uses as much as digits as its factorization.

22109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 22109 is about 148.6909546677. The cubic root of 22109 is about 28.0665931946.

It can be divided in two parts, 22 and 109, that added together give a palindrome (131).

The spelling of 22109 in words is "twenty-two thousand, one hundred nine".