Search a number
-
+
232312330320 = 24357173799313
BaseRepresentation
bin1101100001011011100…
…1001101100001010000
3211012122020122010202020
43120112321031201100
512301233424032240
6254420043251440
722532626140450
oct3302671154120
9735566563666
10232312330320
118a583288224
1239034b19b80
1318ba3785865
14b35b687d60
15609a0a80d0
hex3616e4d850

232312330320 has 160 divisors (see below), whose sum is σ = 827807945472. Its totient is φ = 52792958976.

The previous prime is 232312330301. The next prime is 232312330357. The reversal of 232312330320 is 23033213232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109017 + ... + 690296.

Almost surely, 2232312330320 is an apocalyptic number.

232312330320 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 232312330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413903972736).

232312330320 is an abundant number, since it is smaller than the sum of its proper divisors (595495615152).

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

232312330320 is a wasteful number, since it uses less digits than its factorization.

232312330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799509 (or 799503 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 232312330320 its reverse (23033213232), we get a palindrome (255345543552).

The spelling of 232312330320 in words is "two hundred thirty-two billion, three hundred twelve million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 173 210 240 280 336 346 420 519 560 692 840 865 1038 1211 1384 1680 1730 2076 2422 2595 2768 3460 3633 4152 4844 5190 6055 6920 7266 8304 9688 10380 12110 13840 14532 18165 19376 20760 24220 29064 36330 41520 48440 58128 72660 96880 145320 290640 799313 1598626 2397939 3197252 3996565 4795878 5595191 6394504 7993130 9591756 11190382 11989695 12789008 15986260 16785573 19183512 22380764 23979390 27975955 31972520 33571146 38367024 44761528 47958780 55951910 63945040 67142292 83927865 89523056 95917560 111903820 134284584 138281149 167855730 191835120 223807640 268569168 276562298 335711460 414843447 447615280 553124596 671422920 691405745 829686894 967968043 1106249192 1342845840 1382811490 1659373788 1935936086 2074217235 2212498384 2765622980 2903904129 3318747576 3871872172 4148434470 4839840215 5531245960 5807808258 6637495152 7743744344 8296868940 9679680430 11062491920 11615616516 14519520645 15487488688 16593737880 19359360860 23231233032 29039041290 33187475760 38718721720 46462466064 58078082580 77437443440 116156165160 232312330320