Search a number
-
+
23164309 = 72472741
BaseRepresentation
bin101100001011…
…1010110010101
31121120212110101
41120113112111
521412224214
62144254101
7400615300
oct130272625
947525411
1023164309
1112091763
127911331
134a507bc
14310db37
152078774
hex1617595

23164309 has 6 divisors (see below), whose sum is σ = 26946294. Its totient is φ = 19855080.

The previous prime is 23164307. The next prime is 23164313. The reversal of 23164309 is 90346132.

It can be written as a sum of positive squares in only one way, i.e., 22061809 + 1102500 = 4697^2 + 1050^2 .

It is not a de Polignac number, because 23164309 - 21 = 23164307 is a prime.

It is a super-2 number, since 2×231643092 = 1073170422894962, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23164307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 236322 + ... + 236419.

It is an arithmetic number, because the mean of its divisors is an integer number (4491049).

Almost surely, 223164309 is an apocalyptic number.

It is an amenable number.

23164309 is a deficient number, since it is larger than the sum of its proper divisors (3781985).

23164309 is an equidigital number, since it uses as much as digits as its factorization.

23164309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472755 (or 472748 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 23164309 is about 4812.9314352066. The cubic root of 23164309 is about 285.0622988873.

The spelling of 23164309 in words is "twenty-three million, one hundred sixty-four thousand, three hundred nine".

Divisors: 1 7 49 472741 3309187 23164309