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221002012022220 = 2232511138585936753
BaseRepresentation
bin110010010000000000001010…
…011010111101010111001100
31001222111120211012111022022200
4302100000022122331113030
5212431344110034202340
62102010531150441500
764356603611111442
oct6220001232752714
91058446735438280
10221002012022220
1164466477304360
1220953806803290
139641528634930
143c807a95d2b92
151a83b82126330
hexc9000a6bd5cc

221002012022220 has 144 divisors (see below), whose sum is σ = 787570806570912. Its totient is φ = 49454995691520.

The previous prime is 221002012022213. The next prime is 221002012022237. The reversal of 221002012022220 is 22220210200122.

221002012022220 is a `hidden beast` number, since 221 + 0 + 0 + 20 + 1 + 202 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221002012022193 and 221002012022202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4292942637 + ... + 4292994116.

It is an arithmetic number, because the mean of its divisors is an integer number (5469241712298).

Almost surely, 2221002012022220 is an apocalyptic number.

221002012022220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002012022220 is an abundant number, since it is smaller than the sum of its proper divisors (566568794548692).

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

221002012022220 is a wasteful number, since it uses less digits than its factorization.

221002012022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8585936792 (or 8585936787 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221002012022220 its reverse (22220210200122), we get a palindrome (243222222222342).

The spelling of 221002012022220 in words is "two hundred twenty-one trillion, two billion, twelve million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1170 1287 1430 1716 1980 2145 2340 2574 2860 4290 5148 6435 8580 12870 25740 8585936753 17171873506 25757810259 34343747012 42929683765 51515620518 77273430777 85859367530 94445304283 103031241036 111617177789 128789051295 154546861554 171718735060 188890608566 223234355578 257578102590 283335912849 309093723108 334851533367 377781217132 386367153885 446468711156 472226521415 515156205180 558085888945 566671825698 669703066734 772734307770 850007738547 944453042830 1004554600101 1116171777890 1133343651396 1227788955679 1339406133468 1416679564245 1545468615540 1674257666835 1700015477094 1888906085660 2009109200202 2232343555780 2455577911358 2833359128490 3348515333670 3400030954188 3683366867037 4018218400404 4250038692735 4911155822716 5022773000505 5666718256980 6138944778395 6697030667340 7366733734074 8500077385470 10045546001010 11050100601111 12277889556790 14733467468148 17000154770940 18416834335185 20091092002020 22100201202222 24555779113580 36833668670370 44200402404444 55250503005555 73667337340740 110501006011110 221002012022220