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230681313 = 32173134817
BaseRepresentation
bin11011011111111…
…10101011100001
3121002001211021100
431233332223201
5433023300223
634520145013
75500521162
oct1557765341
9532054240
10230681313
11109239315
1265308169
1338a3a425
14228cb769
15153ba043
hexdbfeae1

230681313 has 24 divisors (see below), whose sum is σ = 354007368. Its totient is φ = 144248832.

The previous prime is 230681303. The next prime is 230681351. The reversal of 230681313 is 313186032.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 613089 + 230068224 = 783^2 + 15168^2 .

It is not a de Polignac number, because 230681313 - 212 = 230677217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230681303) 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 23 ways as a sum of consecutive naturals, for example, 45481 + ... + 50297.

It is an arithmetic number, because the mean of its divisors is an integer number (14750307).

Almost surely, 2230681313 is an apocalyptic number.

It is an amenable number.

230681313 is a deficient number, since it is larger than the sum of its proper divisors (123326055).

230681313 is a wasteful number, since it uses less digits than its factorization.

230681313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5153 (or 5150 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 230681313 is about 15188.1965025476. The cubic root of 230681313 is about 613.2969499986.

The spelling of 230681313 in words is "two hundred thirty million, six hundred eighty-one thousand, three hundred thirteen".

Divisors: 1 3 9 17 51 153 313 939 2817 4817 5321 14451 15963 43353 47889 81889 245667 737001 1507721 4523163 13569489 25631257 76893771 230681313