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230948809 = 721321672
BaseRepresentation
bin11011100001111…
…11111111001001
3121002120102012121
431300333333021
5433110330214
634530011241
75503014100
oct1560777711
9532512177
10230948809
11109401293
1265416b21
1338b02100
142295b037
151541e424
hexdc3ffc9

230948809 has 27 divisors (see below), whose sum is σ = 292662567. Its totient is φ = 181634544.

The previous prime is 230948797. The next prime is 230948821. The reversal of 230948809 is 908849032.

It is a happy number.

The square root of 230948809 is 15197.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (230948797) and next prime (230948821).

It can be written as a sum of positive squares in only one way, i.e., 34164025 + 196784784 = 5845^2 + 14028^2 .

It is not a de Polignac number, because 230948809 - 29 = 230948297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230948849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1382844 + ... + 1383010.

Almost surely, 2230948809 is an apocalyptic number.

230948809 is the 15197-th square number.

230948809 is the 7599-th centered octagonal number.

It is an amenable number.

230948809 is a deficient number, since it is larger than the sum of its proper divisors (61713758).

230948809 is an equidigital number, since it uses as much as digits as its factorization.

230948809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The cubic root of 230948809 is about 613.5339163247.

The spelling of 230948809 in words is "two hundred thirty million, nine hundred forty-eight thousand, eight hundred nine".

Divisors: 1 7 13 49 91 167 169 637 1169 1183 2171 8183 8281 15197 27889 28223 106379 195223 197561 362557 1366561 1382927 2537899 4713241 17765293 32992687 230948809