Search a number
-
+
232233312330 = 23454153131941
BaseRepresentation
bin1101100001001000101…
…1110010000001001010
3211012102201221121110000
43120102023302001022
512301103211443310
6254404141503430
722530646404345
oct3302213620112
9735381847400
10232233312330
118a5427178a8
1239012571b76
1318b902aa456
14b350d9945c
15609319a4c0
hex36122f204a

232233312330 has 160 divisors (see below), whose sum is σ = 651754425168. Its totient is φ = 59278003200.

The previous prime is 232233312319. The next prime is 232233312361. The reversal of 232233312330 is 33213332232.

232233312330 is a `hidden beast` number, since 2 + 322 + 3 + 3 + 3 + 1 + 2 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 44386483761 + 187846828569 = 210681^2 + 433413^2 .

It is a super-2 number, since 2×2322333123302 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 232233312294 and 232233312303.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1694160 + ... + 1826100.

Almost surely, 2232233312330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232233312330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325877212584).

232233312330 is an abundant number, since it is smaller than the sum of its proper divisors (419521112838).

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

232233312330 is a wasteful number, since it uses less digits than its factorization.

232233312330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132054 (or 132045 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 232233312330 its reverse (33213332232), we get a palindrome (265446644562).

The spelling of 232233312330 in words is "two hundred thirty-two billion, two hundred thirty-three million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 53 54 81 82 90 106 123 135 159 162 205 246 265 270 318 369 405 410 477 530 615 738 795 810 954 1107 1230 1431 1590 1845 2173 2214 2385 2862 3321 3690 4293 4346 4770 5535 6519 6642 7155 8586 10865 11070 13038 14310 16605 19557 21465 21730 32595 33210 39114 42930 58671 65190 97785 117342 131941 176013 195570 263882 293355 352026 395823 586710 659705 791646 880065 1187469 1319410 1760130 1979115 2374938 3562407 3958230 5409581 5937345 6992873 7124814 10687221 10819162 11874690 13985746 16228743 17812035 20978619 21374442 27047905 32457486 34964365 35624070 41957238 48686229 53436105 54095810 62935857 69928730 81143715 97372458 104893095 106872210 125871714 146058687 162287430 188807571 209786190 243431145 286707793 292117374 314679285 377615142 438176061 486862290 566422713 573415586 629358570 730293435 860123379 876352122 944037855 1132845426 1433538965 1460586870 1720246758 1888075710 2190880305 2580370137 2832113565 2867077930 4300616895 4381760610 5160740274 5664227130 7741110411 8601233790 12901850685 15482220822 23223331233 25803701370 38705552055 46446662466 77411104110 116116656165 232233312330