Search a number
-
+
230309 is a prime number
BaseRepresentation
bin111000001110100101
3102200220222
4320032211
524332214
64534125
71646312
oct701645
9380828
10230309
11148042
12b1345
1380aa1
145dd09
154838e
hex383a5

230309 has 2 divisors, whose sum is σ = 230310. Its totient is φ = 230308.

The previous prime is 230303. The next prime is 230311. The reversal of 230309 is 903032.

It is a happy number.

230309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220900 + 9409 = 470^2 + 97^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-230309 is a prime.

It is a Sophie Germain prime.

Together with 230311, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is equal to p20465 and since 230309 and 20465 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (230303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115154 + 115155.

It is an arithmetic number, because the mean of its divisors is an integer number (115155).

2230309 is an apocalyptic number.

It is an amenable number.

230309 is a deficient number, since it is larger than the sum of its proper divisors (1).

230309 is an equidigital number, since it uses as much as digits as its factorization.

230309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 230309 is about 479.9051989716. The cubic root of 230309 is about 61.2966824455.

The spelling of 230309 in words is "two hundred thirty thousand, three hundred nine".