Search a number
-
+
232213346565 = 35317123330187
BaseRepresentation
bin1101100001000011111…
…1100111100100000101
3211012101100101020120020
43120100333213210011
512301033104042230
6254402145525353
722530314610204
oct3302077474405
9735340336506
10232213346565
118a532420272
1239007943859
1318b891097a5
14b34c47d23b
156091554810
hex3610fe7905

232213346565 has 64 divisors (see below), whose sum is σ = 390610501632. Its totient is φ = 117652953600.

The previous prime is 232213346543. The next prime is 232213346569. The reversal of 232213346565 is 565643312232.

232213346565 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 232213346565 - 210 = 232213345541 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232213346569) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7677402 + ... + 7707588.

It is an arithmetic number, because the mean of its divisors is an integer number (6103289088).

Almost surely, 2232213346565 is an apocalyptic number.

It is an amenable number.

232213346565 is a deficient number, since it is larger than the sum of its proper divisors (158397155067).

232213346565 is a wasteful number, since it uses less digits than its factorization.

232213346565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30530.

The product of its digits is 777600, while the sum is 42.

Adding to 232213346565 its reverse (565643312232), we get a palindrome (797856658797).

The spelling of 232213346565 in words is "two hundred thirty-two billion, two hundred thirteen million, three hundred forty-six thousand, five hundred sixty-five".

Divisors: 1 3 5 15 31 71 93 155 213 233 355 465 699 1065 1165 2201 3495 6603 7223 11005 16543 21669 30187 33015 36115 49629 82715 90561 108345 150935 248145 452805 512833 935797 1538499 2143277 2564165 2807391 4678985 6429831 7033571 7692495 10716385 14036955 21100713 32149155 35167855 66441587 105503565 199324761 218040701 332207935 499383541 654122103 996623805 1090203505 1498150623 2496917705 3270610515 7490753115 15480889771 46442669313 77404448855 232213346565