Search a number
-
+
232111111230 = 232518128015087
BaseRepresentation
bin1101100000101011100…
…1100111110000111110
3211012010020000011001100
43120022321213300332
512300330421024410
6254344054353530
722524633615045
oct3301271476076
9735106004040
10232111111230
118a48a742359
1238b9965b8a6
1318b70b926cb
14b33ca6955c
1560875ac8c0
hex360ae67c3e

232111111230 has 96 divisors (see below), whose sum is σ = 607159058688. Its totient is φ = 61520256000.

The previous prime is 232111111201. The next prime is 232111111259. The reversal of 232111111230 is 32111111232.

232111111230 is a `hidden beast` number, since 2 + 321 + 1 + 1 + 111 + 230 = 666.

It is an interprime number because it is at equal distance from previous prime (232111111201) and next prime (232111111259).

It is a super-2 number, since 2×2321111112302 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45625747 + ... + 45630833.

It is an arithmetic number, because the mean of its divisors is an integer number (6324573528).

Almost surely, 2232111111230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232111111230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303579529344).

232111111230 is an abundant number, since it is smaller than the sum of its proper divisors (375047947458).

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

232111111230 is a wasteful number, since it uses less digits than its factorization.

232111111230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8082 (or 8079 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 232111111230 its reverse (32111111232), we get a palindrome (264222222462).

The spelling of 232111111230 in words is "two hundred thirty-two billion, one hundred eleven million, one hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 181 362 543 905 1086 1629 1810 2715 2801 3258 5087 5430 5602 8145 8403 10174 14005 15261 16290 16806 25209 25435 28010 30522 42015 45783 50418 50870 76305 84030 91566 126045 152610 228915 252090 457830 506981 920747 1013962 1520943 1841494 2534905 2762241 3041886 4562829 4603735 5069810 5524482 7604715 8286723 9125658 9207470 13811205 14248687 15209430 16573446 22814145 27622410 28497374 41433615 42746061 45628290 71243435 82867230 85492122 128238183 142486870 213730305 256476366 427460610 641190915 1282381830 2579012347 5158024694 7737037041 12895061735 15474074082 23211111123 25790123470 38685185205 46422222246 77370370410 116055555615 232111111230