Search a number
-
+
232321003332 = 2231121937227597
BaseRepresentation
bin1101100001011101101…
…0010010111101000100
3211012122211221202212220
43120113122102331010
512301243134101312
6254420553212340
722533062642265
oct3302732227504
9735584852786
10232321003332
118a588171400
1239037a010b0
1318ba5501412
14b35c8a496c
15609ac1cc8c
hex3617692f44

232321003332 has 144 divisors (see below), whose sum is σ = 644156963520. Its totient is φ = 64892171520.

The previous prime is 232321003289. The next prime is 232321003357. The reversal of 232321003332 is 233300123232.

232321003332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 906958 + ... + 1134554.

Almost surely, 2232321003332 is an apocalyptic number.

232321003332 is a gapful number since it is divisible by the number (22) 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 232321003332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322078481760).

232321003332 is an abundant number, since it is smaller than the sum of its proper divisors (411835960188).

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

232321003332 is a wasteful number, since it uses less digits than its factorization.

232321003332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227682 (or 227669 counting only the distinct ones).

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

Adding to 232321003332 its reverse (233300123232), we get a palindrome (465621126564).

The spelling of 232321003332 in words is "two hundred thirty-two billion, three hundred twenty-one million, three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 37 38 44 57 66 74 76 111 114 121 132 148 209 222 228 242 363 407 418 444 484 627 703 726 814 836 1221 1254 1406 1452 1628 2109 2299 2442 2508 2812 4218 4477 4598 4884 6897 7733 8436 8954 9196 13431 13794 15466 17908 23199 26862 27588 30932 46398 53724 85063 92796 170126 227597 255189 340252 455194 510378 682791 910388 1020756 1365582 2503567 2731164 4324343 5007134 7510701 8421089 8648686 10014268 12973029 15021402 16842178 17297372 25263267 25946058 27539237 30042804 33684356 47567773 50526534 51892116 55078474 82617711 92631979 95135546 101053068 110156948 142703319 160000691 165235422 185263958 190271092 277895937 285406638 320001382 330470844 370527916 480002073 523245503 555791874 570813276 640002764 960004146 1018951769 1046491006 1111583748 1569736509 1760007601 1920008292 2037903538 2092982012 3056855307 3139473018 3520015202 4075807076 5280022803 6113710614 6278946036 7040030404 10560045606 12227421228 19360083611 21120091212 38720167222 58080250833 77440334444 116160501666 232321003332