Search a number
-
+
232230300111234 = 23429119699412967
BaseRepresentation
bin110100110011011001010100…
…100010110101000110000010
31010110020222222220110111010000
4310303121110202311012002
5220414330123312024414
62141525043240220430
766626041220116605
oct6463312442650602
91113228886414100
10232230300111234
1167aa53541aa427
122206795576a716
139c772b9883059
14414c013b8c33c
151bcac9a425b09
hexd336548b5182

232230300111234 has 80 divisors (see below), whose sum is σ = 538317415944000. Its totient is φ = 74739980853216.

The previous prime is 232230300111223. The next prime is 232230300111269. The reversal of 232230300111234 is 432111003032232.

232230300111234 is a `hidden beast` number, since 2 + 3 + 2 + 230 + 300 + 1 + 1 + 123 + 4 = 666.

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 = 232230300111198 and 232230300111207.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 562139419 + ... + 562552385.

It is an arithmetic number, because the mean of its divisors is an integer number (6728967699300).

Almost surely, 2232230300111234 is an apocalyptic number.

232230300111234 is an abundant number, since it is smaller than the sum of its proper divisors (306087115832766).

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

232230300111234 is a wasteful number, since it uses less digits than its factorization.

232230300111234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532709 (or 532700 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 232230300111234 its reverse (432111003032232), we get a palindrome (664341303143466).

The spelling of 232230300111234 in words is "two hundred thirty-two trillion, two hundred thirty billion, three hundred million, one hundred eleven thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 1566 2349 4698 119699 239398 359097 412967 718194 825934 1077291 1238901 2154582 2477802 3231873 3471271 3716703 6463746 6942542 7433406 9695619 10413813 11150109 11976043 19391238 20827626 22300218 23952086 31241439 33450327 35928129 62482878 66900654 71856258 93724317 107784387 187448634 215568774 281172951 323353161 562345902 646706322 970059483 1940118966 49431736933 98863473866 148295210799 296590421598 444885632397 889771264794 1334656897191 1433520371057 2669313794382 2867040742114 4003970691573 4300561113171 8007941383146 8601122226342 12901683339513 25803366679026 38705050018539 77410100037078 116115150055617 232230300111234