Search a number
-
+
2234344434322 = 27112131011004551
BaseRepresentation
bin100000100000111001010…
…011100110101010010010
321220121020022020120100111
4200200321103212222102
5243101414133344242
64430235455311534
7320266065221140
oct40407123465222
97817208216314
102234344434322
11791642202900
1230104551b5aa
1313290c024b20
147a1ddd8c590
153d1c168a817
hex208394e6a92

2234344434322 has 96 divisors (see below), whose sum is σ = 4578924817152. Its totient is φ = 795603600000.

The previous prime is 2234344434319. The next prime is 2234344434379.

2234344434322 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1721947 + ... + 2726497.

It is an arithmetic number, because the mean of its divisors is an integer number (47697133512).

Almost surely, 22234344434322 is an apocalyptic number.

2234344434322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2234344434322 is an abundant number, since it is smaller than the sum of its proper divisors (2344580382830).

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

2234344434322 is a wasteful number, since it uses less digits than its factorization.

2234344434322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004696 (or 1004685 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 40.

The spelling of 2234344434322 in words is "two trillion, two hundred thirty-four billion, three hundred forty-four million, four hundred thirty-four thousand, three hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 101 121 143 154 182 202 242 286 707 847 1001 1111 1313 1414 1573 1694 2002 2222 2626 3146 7777 9191 11011 12221 14443 15554 18382 22022 24442 28886 85547 101101 158873 171094 202202 317746 1004551 1112111 2009102 2224222 7031857 11050061 13059163 14063714 22100122 26118326 77350427 91414141 101459651 121550671 143650793 154700854 182828282 202919302 243101342 287301586 710217557 850854697 1005555551 1116056161 1318975463 1420435114 1580158723 1701709394 2011111102 2232112322 2637950926 3160317446 7812393127 9232828241 11061111061 12276617771 14508730093 15624786254 18465656482 22122222122 24553235542 29017460186 85936324397 101561110651 159596031023 171872648794 203122221302 319192062046 1117172217161 2234344434322