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22445054534214 = 23413172657235951
BaseRepresentation
bin1010001101001111001011…
…00000001010001001000110
32221110201121102221012120000
411012213211200022021012
510420214432430043324
6115423040554222130
74504413242450064
oct506474540121106
987421542835500
1022445054534214
117173992163664
122626003424946
13c6a73747c730
145784bc897034
1528dca9d6d9c9
hex1469e580a246

22445054534214 has 160 divisors (see below), whose sum is σ = 57370126214016. Its totient is φ = 6497451417600.

The previous prime is 22445054534209. The next prime is 22445054534249. The reversal of 22445054534214 is 41243545054422.

22445054534214 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 50 + 54 + 534 + 2 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 22445054534214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 95007939 + ... + 95243889.

Almost surely, 222445054534214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22445054534214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28685063107008).

22445054534214 is an abundant number, since it is smaller than the sum of its proper divisors (34925071679802).

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

22445054534214 is a wasteful number, since it uses less digits than its factorization.

22445054534214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238652 (or 238643 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 45.

Adding to 22445054534214 its reverse (41243545054422), we get a palindrome (63688599588636).

The spelling of 22445054534214 in words is "twenty-two trillion, four hundred forty-five billion, fifty-four million, five hundred thirty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 81 102 117 153 162 221 234 306 351 442 459 663 702 918 1053 1326 1377 1989 2106 2657 2754 3978 5314 5967 7971 11934 15942 17901 23913 34541 35802 45169 47826 69082 71739 90338 103623 135507 143478 207246 215217 235951 271014 310869 406521 430434 471902 587197 621738 707853 813042 932607 1174394 1219563 1415706 1761591 1865214 2123559 2439126 2797821 3067363 3523182 3658689 4011167 4247118 5284773 5595642 6134726 6370677 7317378 8022334 9202089 10569546 12033501 12741354 15854319 18404178 19112031 24067002 27606267 31708638 36100503 38224062 47562957 52145171 55212534 72201006 82818801 95125914 104290342 108301509 156435513 165637602 216603018 248456403 312871026 324904527 469306539 496912806 626921807 649809054 938613078 1253843614 1407919617 1880765421 2815839234 3761530842 4223758851 5642296263 8149983491 8447517702 10657670719 11284592526 16299966982 16926888789 21315341438 24449950473 31973012157 33853777578 48899900946 50780666367 63946024314 73349851419 95919036471 101561332734 138549719347 146699702838 191838072942 220049554257 277099438694 287757109413 415649158041 440099108514 575514218826 660148662771 831298316082 863271328239 1246947474123 1320297325542 1726542656478 2493894948246 3740842422369 7481684844738 11222527267107 22445054534214