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232113320320 = 2757242321383
BaseRepresentation
bin1101100000101100001…
…0000011000110000000
3211012010101011101100111
43120023002003012000
512300332002222240
6254344214001104
722524661445410
oct3301302030600
9735111141314
10232113320320
118a490a11052
1238b9a346194
1318b7148706b
14b33d082640
1560878971ea
hex360b083180

232113320320 has 128 divisors (see below), whose sum is σ = 634458147840. Its totient is φ = 79545145344.

The previous prime is 232113320311. The next prime is 232113320321. The reversal of 232113320320 is 23023311232.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 232113320291 and 232113320300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232113320321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10844349 + ... + 10865731.

It is an arithmetic number, because the mean of its divisors is an integer number (4956704280).

Almost surely, 2232113320320 is an apocalyptic number.

232113320320 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 232113320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317229073920).

232113320320 is an abundant number, since it is smaller than the sum of its proper divisors (402344827520).

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

232113320320 is a wasteful number, since it uses less digits than its factorization.

232113320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23832 (or 23820 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 232113320320 its reverse (23023311232), we get a palindrome (255136631552).

The spelling of 232113320320 in words is "two hundred thirty-two billion, one hundred thirteen million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 2423 4480 4846 9692 12115 16961 19384 21383 24230 33922 38768 42766 48460 67844 77536 84805 85532 96920 106915 135688 149681 155072 169610 171064 193840 213830 271376 299362 310144 339220 342128 387680 427660 542752 598724 678440 684256 748405 775360 855320 1085504 1197448 1356880 1368512 1496810 1550720 1710640 2171008 2394896 2713760 2737024 2993620 3421280 4789792 5427520 5987240 6842560 9579584 10855040 11974480 13685120 19159168 23948960 47897920 51811009 95795840 103622018 207244036 259055045 362677063 414488072 518110090 725354126 828976144 1036220180 1450708252 1657952288 1813385315 2072440360 2901416504 3315904576 3626770630 4144880720 5802833008 6631809152 7253541260 8289761440 11605666016 14507082520 16579522880 23211332032 29014165040 33159045760 46422664064 58028330080 116056660160 232113320320