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232032320320 = 26567106310181
BaseRepresentation
bin1101100000011000110…
…1000011101101000000
3211011220201202011020111
43120012031003231000
512300200233222240
6254332201521104
722522656115663
oct3300615035500
9734821664214
10232032320320
118a44a2175a9
1238b771a3194
1318b5a766778
14b3323d96da
1560806e71ea
hex3606343b40

232032320320 has 112 divisors (see below), whose sum is σ = 561356304768. Its totient is φ = 91332679680.

The previous prime is 232032320309. The next prime is 232032320381. The reversal of 232032320320 is 23023230232.

It is a junction number, because it is equal to n+sod(n) for n = 232032320291 and 232032320300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22785630 + ... + 22795810.

It is an arithmetic number, because the mean of its divisors is an integer number (5012109864).

Almost surely, 2232032320320 is an apocalyptic number.

232032320320 is a gapful number since it is divisible by the number (20) 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 232032320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280678152384).

232032320320 is an abundant number, since it is smaller than the sum of its proper divisors (329323984448).

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

232032320320 is a wasteful number, since it uses less digits than its factorization.

232032320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11328 (or 11318 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

Adding to 232032320320 its reverse (23023230232), we get a palindrome (255055550552).

The spelling of 232032320320 in words is "two hundred thirty-two billion, thirty-two million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 134 160 268 320 335 536 670 1063 1072 1340 2126 2144 2680 4252 4288 5315 5360 8504 10181 10630 10720 17008 20362 21260 21440 34016 40724 42520 50905 68032 71221 81448 85040 101810 142442 162896 170080 203620 284884 325792 340160 356105 407240 569768 651584 682127 712210 814480 1139536 1364254 1424420 1628960 2279072 2728508 2848840 3257920 3410635 4558144 5457016 5697680 6821270 10822403 10914032 11395360 13642540 21644806 21828064 22790720 27285080 43289612 43656128 54112015 54570160 86579224 108224030 109140320 173158448 216448060 218280640 346316896 432896120 692633792 725101001 865792240 1450202002 1731584480 2900404004 3463168960 3625505005 5800808008 7251010010 11601616016 14502020020 23203232032 29004040040 46406464064 58008080080 116016160160 232032320320