Search a number
-
+
232339965 = 351121343229
BaseRepresentation
bin11011101100100…
…11100111111101
3121012012002111220
431312103213331
5433434334330
635015503553
75520566664
oct1566234775
9535162456
10232339965
1110a171500
1265987bb9
133919b390
1422bddddb
15155e6710
hexdd939fd

232339965 has 96 divisors (see below), whose sum is σ = 452242560. Its totient is φ = 101122560.

The previous prime is 232339927. The next prime is 232339981. The reversal of 232339965 is 569933232.

It is not a de Polignac number, because 232339965 - 210 = 232338941 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1014471 + ... + 1014699.

It is an arithmetic number, because the mean of its divisors is an integer number (4710860).

Almost surely, 2232339965 is an apocalyptic number.

It is an amenable number.

232339965 is a deficient number, since it is larger than the sum of its proper divisors (219902595).

232339965 is a wasteful number, since it uses less digits than its factorization.

232339965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 304 counting only the distinct ones).

The product of its digits is 262440, while the sum is 42.

The square root of 232339965 is about 15242.7020242475. The cubic root of 232339965 is about 614.7633566379.

The spelling of 232339965 in words is "two hundred thirty-two million, three hundred thirty-nine thousand, nine hundred sixty-five".

Divisors: 1 3 5 11 13 15 33 39 43 55 65 121 129 143 165 195 215 229 363 429 473 559 605 645 687 715 1145 1419 1573 1677 1815 2145 2365 2519 2795 2977 3435 4719 5203 6149 7095 7557 7865 8385 8931 9847 12595 14885 15609 18447 23595 26015 27709 29541 30745 32747 37785 44655 49235 67639 78045 83127 92235 98241 108317 128011 138545 147705 163735 202917 324951 338195 360217 384033 415635 491205 541585 640055 1014585 1080651 1191487 1408121 1624755 1801085 1920165 3574461 4224363 5403255 5957435 7040605 15489331 17872305 21121815 46467993 77446655 232339965