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232323001232 = 24717831678803
BaseRepresentation
bin1101100001011110000…
…1111010101110010000
3211012122222201021111012
43120113201322232100
512301244142014412
6254421104110052
722533115633130
oct3302741725620
9735588637435
10232323001232
118a589306463
1239038605328
1318ba5a508ca
14b35cc64ac0
15609aeb4c22
hex361787ab90

232323001232 has 160 divisors (see below), whose sum is σ = 554616502272. Its totient is φ = 92016248832.

The previous prime is 232323001189. The next prime is 232323001241. The reversal of 232323001232 is 232100323232.

232323001232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 232323001198 and 232323001207.

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 31 ways as a sum of consecutive naturals, for example, 26386943 + ... + 26395745.

Almost surely, 2232323001232 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 232323001232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277308251136).

232323001232 is an abundant number, since it is smaller than the sum of its proper divisors (322293501040).

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

232323001232 is a wasteful number, since it uses less digits than its factorization.

232323001232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9085 (or 9079 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 232323001232 its reverse (232100323232), we get a palindrome (464423324464).

The spelling of 232323001232 in words is "two hundred thirty-two billion, three hundred twenty-three million, one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 83 112 119 136 166 167 238 272 332 334 476 581 664 668 952 1162 1169 1328 1336 1411 1904 2324 2338 2672 2822 2839 4648 4676 5644 5678 8803 9296 9352 9877 11288 11356 13861 17606 18704 19754 19873 22576 22712 27722 35212 39508 39746 45424 55444 61621 70424 79016 79492 97027 110888 123242 140848 149651 158032 158984 194054 221776 235637 246484 299302 317968 388108 471274 492968 598604 730649 776216 942548 985936 1047557 1197208 1461298 1470101 1552432 1649459 1885096 2095114 2394416 2922596 2940202 3298918 3770192 4190228 5114543 5845192 5880404 6597836 8380456 10229086 10290707 11690384 11760808 12421033 13195672 16760912 20458172 20581414 23521616 24842066 24991717 26391344 40916344 41162828 49684132 49983434 81832688 82325656 86947231 99368264 99966868 122018383 164651312 173894462 174942019 198736528 199933736 244036766 347788924 349884038 399867472 488073532 695577848 699768076 854128681 976147064 1391155696 1399536152 1708257362 1952294128 2074312511 2799072304 3416514724 4148625022 6833029448 8297250044 13666058896 14520187577 16594500088 29040375154 33189000176 58080750308 116161500616 232323001232