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2264122526215 = 51141971101227
BaseRepresentation
bin100000111100101000001…
…110000000101000000111
322000110002120222101000211
4200330220032000220013
5244043410331314330
64452042403220251
7322402031635444
oct40745016005007
98013076871024
102264122526215
117a3233160000
12306976077687
13135676431b44
147b826b509cb
153dd65a7dd2a
hex20f28380a07

2264122526215 has 160 divisors (see below), whose sum is σ = 3236007283200. Its totient is φ = 1516062240000.

The previous prime is 2264122526209. The next prime is 2264122526219. The reversal of 2264122526215 is 5126252214622.

It is not a de Polignac number, because 2264122526215 - 29 = 2264122525703 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264122526219) 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, 9974107932 + ... + 9974108158.

It is an arithmetic number, because the mean of its divisors is an integer number (20225045520).

Almost surely, 22264122526215 is an apocalyptic number.

2264122526215 is a deficient number, since it is larger than the sum of its proper divisors (971884756985).

2264122526215 is a wasteful number, since it uses less digits than its factorization.

2264122526215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 434 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

The spelling of 2264122526215 in words is "two trillion, two hundred sixty-four billion, one hundred twenty-two million, five hundred twenty-six thousand, two hundred fifteen".

Divisors: 1 5 11 19 55 71 95 101 121 209 227 355 505 605 781 1045 1111 1135 1331 1349 1919 2299 2497 3905 4313 5555 6655 6745 7171 8591 9595 11495 12221 12485 14641 14839 16117 21109 21565 22927 25289 27467 35855 42955 47443 61105 73205 74195 78881 80585 94501 105545 114635 126445 134431 136249 137335 163229 177287 232199 237215 252197 278179 302137 306223 394405 435613 472505 521873 672155 681245 816145 867691 886435 1039511 1160995 1260985 1390895 1478741 1498739 1510685 1531115 1627817 1795519 1950157 2178065 2554189 2609365 2774167 3323507 3368453 4338455 4791743 5197555 5740603 7393705 7493695 8139085 8977595 9544601 9750785 12770945 13870835 16486129 16617535 16842265 17905987 19750709 21451727 23958715 28096079 28703015 30515837 30928523 37052983 47723005 52709173 63146633 82430645 89529935 98753545 104990611 107258635 140480395 152579185 154642615 181347419 185264915 196965857 235968997 263545865 315733165 335674207 340213753 407582813 524953055 579800903 906737095 984829285 1179844985 1678371035 1701068765 1994821609 2037914065 2166624427 2899004515 3742351283 4483410943 6377809933 9974108045 10833122135 18711756415 22417054715 23832868697 31889049665 41165864113 119164343485 205829320565 452824505243 2264122526215