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2296089666 = 2341317591087
BaseRepresentation
bin1000100011011011…
…1000110001000010
312221000111102220000
42020312320301002
514200244332131
61015501100430
7110620303653
oct21066706102
95830442800
102296089666
11a790a0172
12540b57716
132a7906350
1417ad3152a
15d689cce6
hex88db8c42

2296089666 has 160 divisors (see below), whose sum is σ = 5971553280. Its totient is φ = 653059584.

The previous prime is 2296089647. The next prime is 2296089671. The reversal of 2296089666 is 6669806922.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2111775 + ... + 2112861.

It is an arithmetic number, because the mean of its divisors is an integer number (37322208).

Almost surely, 22296089666 is an apocalyptic number.

2296089666 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2296089666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985776640).

2296089666 is an abundant number, since it is smaller than the sum of its proper divisors (3675463614).

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

2296089666 is a wasteful number, since it uses less digits than its factorization.

2296089666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 2296089666 is about 47917.5298403413. The cubic root of 2296089666 is about 1319.2576300890.

The spelling of 2296089666 in words is "two billion, two hundred ninety-six million, eighty-nine thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 59 78 81 102 117 118 153 162 177 221 234 306 351 354 442 459 531 663 702 767 918 1003 1053 1062 1087 1326 1377 1534 1593 1989 2006 2106 2174 2301 2754 3009 3186 3261 3978 4602 4779 5967 6018 6522 6903 9027 9558 9783 11934 13039 13806 14131 17901 18054 18479 19566 20709 26078 27081 28262 29349 35802 36958 39117 41418 42393 54162 55437 58698 62127 64133 78234 81243 84786 88047 110874 117351 124254 127179 128266 162486 166311 176094 192399 234702 240227 254358 332622 352053 381537 384798 480454 498933 577197 704106 720681 763074 833729 997866 1056159 1090261 1144611 1154394 1441362 1496799 1667458 1731591 2112318 2162043 2180522 2289222 2501187 2993598 3270783 3463182 4324086 5002374 5194773 6486129 6541566 7503561 9812349 10389546 12972258 14173393 15007122 19458387 19624698 22510683 28346786 29437047 38916774 42520179 45021366 58874094 67532049 85040358 88311141 127560537 135064098 176622282 255121074 382681611 765363222 1148044833 2296089666