Search a number
-
+
223034130200322 = 232717661157525331
BaseRepresentation
bin110010101101100100101110…
…000110100111011100000010
31002020200212002000100122202200
4302231210232012213130002
5213213142344312402242
62110204244231454030
764656453443452650
oct6255445606473402
91066625060318680
10223034130200322
116507a275012791
1221021612b27316
13975b04a044ccc
143d10ca3949dd0
151abb969b8604c
hexcad92e1a7702

223034130200322 has 96 divisors (see below), whose sum is σ = 585646419106944. Its totient is φ = 59884829452800.

The previous prime is 223034130200309. The next prime is 223034130200459. The reversal of 223034130200322 is 223002031430322.

223034130200322 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 3 + 4 + 130 + 200 + 322 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77346804 + ... + 80178527.

It is an arithmetic number, because the mean of its divisors is an integer number (6100483532364).

Almost surely, 2223034130200322 is an apocalyptic number.

223034130200322 is an abundant number, since it is smaller than the sum of its proper divisors (362612288906622).

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

223034130200322 is a wasteful number, since it uses less digits than its factorization.

223034130200322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157526024 (or 157526021 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 223034130200322 its reverse (223002031430322), we get a palindrome (446036161630644).

The spelling of 223034130200322 in words is "two hundred twenty-three trillion, thirty-four billion, one hundred thirty million, two hundred thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 661 714 1071 1322 1983 2142 3966 4627 5949 9254 11237 11898 13881 22474 27762 33711 41643 67422 78659 83286 101133 157318 202266 235977 471954 707931 1415862 157525331 315050662 472575993 945151986 1102677317 1417727979 2205354634 2677930627 2835455958 3308031951 5355861254 6616063902 8033791881 9924095853 16067583762 18745514389 19848191706 24101375643 37491028778 48202751286 56236543167 104124243791 112473086334 168709629501 208248487582 312372731373 337419259002 624745462746 728869706537 937118194119 1457739413074 1770112144447 1874236388238 2186609119611 3540224288894 4373218239222 5310336433341 6559827358833 10620672866682 12390785011129 13119654717666 15931009300023 24781570022258 31862018600046 37172355033387 74344710066774 111517065100161 223034130200322