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22020022222331 = 741771167173263
BaseRepresentation
bin1010000000110111011111…
…00110100011110111111011
32212222002112012122122011212
411000123233212203313323
510341234001142103311
6114455505240513335
74431615451430000
oct500335746436773
985862465578155
1022020022222331
11701a703535901
122577764a7b84b
13c3962ca03833
14561abbd398a7
15282bd0a1dc8b
hex1406ef9a3dfb

22020022222331 has 160 divisors (see below), whose sum is σ = 28014351095808. Its totient is φ = 17242539095040.

The previous prime is 22020022222321. The next prime is 22020022222379. The reversal of 22020022222331 is 13322222002022.

It is not a de Polignac number, because 22020022222331 - 26 = 22020022222267 is a prime.

It is a super-2 number, since 2×220200222223312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22020022222297 and 22020022222306.

It is not an unprimeable number, because it can be changed into a prime (22020022222321) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 83726320106 + ... + 83726320368.

Almost surely, 222020022222331 is an apocalyptic number.

22020022222331 is a deficient number, since it is larger than the sum of its proper divisors (5994328873477).

22020022222331 is a wasteful number, since it uses less digits than its factorization.

22020022222331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 22020022222331 its reverse (13322222002022), we get a palindrome (35342244224353).

The spelling of 22020022222331 in words is "twenty-two trillion, twenty billion, twenty-two million, two hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 7 17 49 71 119 167 173 263 343 497 833 1169 1207 1211 1841 2401 2839 2941 3479 4471 5831 8183 8449 8477 11857 12283 12887 18673 19873 20587 24353 28891 31297 40817 43921 45499 57281 59143 59339 82999 85981 90209 130711 139111 144109 170471 201569 202237 208811 219079 307447 317441 318493 400967 414001 415373 491147 580993 601867 631463 746657 773483 914977 973777 1008763 1410983 1415659 1461677 1533553 2051261 2152129 2222087 2229451 2898007 3118391 3230429 3438029 4066951 4213069 5226599 5414381 6404839 6816439 7061341 7598333 9876881 9909613 10231739 10734871 14358827 15064903 15554609 15606157 21828737 22613003 24066203 28468657 29491483 34871437 36586193 37900667 44833873 53012647 53188331 54917293 69138167 69367291 71622173 100511789 105454321 108882263 109243099 129171661 152801159 158291021 168463421 244100059 256103351 265304669 371088529 372318317 384421051 483967169 501355211 539481643 703582523 762175841 904201627 1069608113 1108037147 1179243947 1708700413 1792723457 1857132683 2597619703 2606228219 2690947357 3776371501 4925077661 6329411389 7487256791 7756260029 9171187931 11960902891 18183337921 18243597533 18836631499 26434600507 44305879723 64198315517 83726320237 127283365447 131856420493 185042203549 310141158061 449388208619 1295295424843 3145717460333 22020022222331