Search a number
-
+
232473912 = 233112172277
BaseRepresentation
bin11011101101101…
…00010100111000
3121012102220020220
431312310110320
5434003131122
635022420040
75521665336
oct1566642470
9535386226
10232473912
1110a253100
1265a31620
1339217338
1422c36b56
151562125c
hexddb4538

232473912 has 144 divisors (see below), whose sum is σ = 681061080. Its totient is φ = 66063360.

The previous prime is 232473869. The next prime is 232473919. The reversal of 232473912 is 219374232.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232473919) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 839118 + ... + 839394.

Almost surely, 2232473912 is an apocalyptic number.

232473912 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232473912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340530540).

232473912 is an abundant number, since it is smaller than the sum of its proper divisors (448587168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

232473912 is a wasteful number, since it uses less digits than its factorization.

232473912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 310 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 232473912 is about 15247.0951987584. The cubic root of 232473912 is about 614.8814736221.

The spelling of 232473912 in words is "two hundred thirty-two million, four hundred seventy-three thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 121 132 136 187 204 242 264 277 289 363 374 408 484 554 561 578 726 748 831 867 968 1108 1122 1156 1452 1496 1662 1734 2057 2216 2244 2312 2904 3047 3179 3324 3468 4114 4488 4709 6094 6171 6358 6648 6936 8228 9141 9418 9537 12188 12342 12716 14127 16456 18282 18836 19074 24376 24684 25432 28254 33517 34969 36564 37672 38148 49368 51799 56508 67034 69938 73128 76296 80053 100551 103598 104907 113016 134068 139876 155397 160106 201102 207196 209814 240159 268136 279752 310794 320212 402204 414392 419628 480318 569789 621588 640424 804408 839256 880583 960636 1139578 1243176 1709367 1761166 1921272 2279156 2641749 3418734 3522332 4558312 5283498 6837468 7044664 9686413 10566996 13674936 19372826 21133992 29059239 38745652 58118478 77491304 116236956 232473912