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232003332030232 = 237426958776493
BaseRepresentation
bin110100110000000101111100…
…001100010011111100011000
31010102110022011002222100012201
4310300011330030103330120
5220402120310444431412
62141232505342415544
766603454563220000
oct6460057414237430
91112408132870181
10232003332030232
1167a18073686884
122202b9725915b4
139c5ba8837a8c9
1441410421b7000
151bc4e14623e57
hexd3017c313f18

232003332030232 has 160 divisors (see below), whose sum is σ = 510238035291600. Its totient is φ = 98890321350912.

The previous prime is 232003332030163. The next prime is 232003332030247. The reversal of 232003332030232 is 232030233300232.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 232003332030232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3032962578 + ... + 3033039070.

Almost surely, 2232003332030232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232003332030232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255119017645800).

232003332030232 is an abundant number, since it is smaller than the sum of its proper divisors (278234703261368).

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

232003332030232 is an equidigital number, since it uses as much as digits as its factorization.

232003332030232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77383 (or 77358 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 28.

Adding to 232003332030232 its reverse (232030233300232), we get a palindrome (464033565330464).

The spelling of 232003332030232 in words is "two hundred thirty-two trillion, three billion, three hundred thirty-two million, thirty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 269 343 392 538 587 686 1076 1174 1372 1883 2152 2348 2401 2744 3766 4109 4696 4802 7532 8218 9604 13181 15064 16436 19208 26362 28763 32872 52724 57526 76493 92267 105448 115052 152986 157903 184534 201341 230104 305972 315806 369068 402682 535451 611944 631612 645869 738136 805364 1070902 1105321 1263224 1291738 1409387 1610728 2141804 2210642 2583476 2818774 3748157 4283608 4421284 5166952 5637548 7496314 7737247 8842568 11275096 14992628 15474494 20576617 26237099 29985256 30948988 41153234 44901391 52474198 54160729 61897976 82306468 89802782 104948396 108321458 144036319 164612936 179605564 183659693 209896792 216642916 288072638 314309737 359211128 367319386 379125103 433285832 576145276 628619474 734638772 758250206 1008254233 1152290552 1257238948 1469277544 1516500412 2016508466 2200168159 2514477896 3033000824 4033016932 4400336318 7057779631 8066033864 8800672636 12078474179 14115559262 15401177113 17601345272 24156948358 28231118524 30802354226 48313896716 49404457417 56462237048 61604708452 84549319253 96627793432 98808914834 107808239791 123209416904 169098638506 197617829668 215616479582 338197277012 395235659336 431232959164 591845234771 676394554024 862465918328 1183690469542 2367380939084 4142916643397 4734761878168 8285833286794 16571666573588 29000416503779 33143333147176 58000833007558 116001666015116 232003332030232