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2022640326 = 2327219137881
BaseRepresentation
bin111100010001111…
…0000101011000110
312012221221202220200
41320203300223012
513120243442301
6532412111330
7101060105400
oct17043605306
95187852820
102022640326
11948800683
12485465546
132630734c5
141528adb70
15bc885c86
hex788f0ac6

2022640326 has 144 divisors (see below), whose sum is σ = 5411493360. Its totient is φ = 542868480.

The previous prime is 2022640289. The next prime is 2022640339. The reversal of 2022640326 is 6230462202.

It is a super-2 number, since 2×20226403262 = 8182147776722772552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2022640326.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2295406 + ... + 2296286.

It is an arithmetic number, because the mean of its divisors is an integer number (37579815).

Almost surely, 22022640326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022640326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705746680).

2022640326 is an abundant number, since it is smaller than the sum of its proper divisors (3388853034).

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

2022640326 is a wasteful number, since it uses less digits than its factorization.

2022640326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2022640326 is about 44973.7737576023. The cubic root of 2022640326 is about 1264.6573930926.

The spelling of 2022640326 in words is "two billion, twenty-two million, six hundred forty thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 137 147 171 266 274 294 342 399 411 441 798 822 881 882 931 959 1197 1233 1762 1862 1918 2394 2466 2603 2643 2793 2877 5206 5286 5586 5754 6167 6713 7809 7929 8379 8631 12334 13426 15618 15858 16739 16758 17262 18221 18501 20139 23427 33478 36442 37002 40278 43169 46854 50217 54663 55503 60417 86338 100434 109326 111006 117173 120697 120834 127547 129507 150651 163989 234346 241394 255094 259014 301302 327978 351519 362091 382641 388521 703038 724182 765282 777042 820211 844879 1054557 1086273 1147923 1640422 1689758 2109114 2172546 2293243 2295846 2460633 2534637 4586486 4921266 5069274 5914153 6879729 7381899 7603911 11828306 13759458 14763798 15207822 16052701 17742459 20639187 32105402 35484918 41278374 48158103 53227377 96316206 106454754 112368907 144474309 224737814 288948618 337106721 674213442 1011320163 2022640326