Search a number
-
+
2257076706 = 2317231199211
BaseRepresentation
bin1000011010001000…
…0100000111100010
312211022002101011120
42012202010013202
514110302423311
61011544553110
7106634556363
oct20642040742
95738071146
102257076706
11a59074155
1252ba82796
1329c7c6b61
14175a97b6a
15d3243706
hex868841e2

2257076706 has 96 divisors (see below), whose sum is σ = 4998451200. Its totient is φ = 678585600.

The previous prime is 2257076659. The next prime is 2257076719. The reversal of 2257076706 is 6076707522.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10696941 + ... + 10697151.

It is an arithmetic number, because the mean of its divisors is an integer number (52067200).

Almost surely, 22257076706 is an apocalyptic number.

2257076706 is an abundant number, since it is smaller than the sum of its proper divisors (2741374494).

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

2257076706 is a wasteful number, since it uses less digits than its factorization.

2257076706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The square root of 2257076706 is about 47508.7013714330. The cubic root of 2257076706 is about 1311.7430531328.

The spelling of 2257076706 in words is "two billion, two hundred fifty-seven million, seventy-six thousand, seven hundred six".

Divisors: 1 2 3 6 17 31 34 51 62 93 102 186 199 211 289 398 422 527 578 597 633 867 1054 1194 1266 1581 1734 3162 3383 3587 6169 6541 6766 7174 8959 10149 10761 12338 13082 17918 18507 19623 20298 21522 26877 37014 39246 41989 53754 57511 60979 83978 104873 111197 115022 121958 125967 172533 182937 209746 222394 251934 314619 333591 345066 365874 629238 667182 713813 1301659 1427626 1782841 1890349 2141439 2603318 3565682 3780698 3904977 4282878 5348523 5671047 7809954 10697046 11342094 12134821 22128203 24269642 36404463 44256406 66384609 72808926 132769218 376179451 752358902 1128538353 2257076706