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220120010202222 = 232138913163802969
BaseRepresentation
bin110010000011001010101111…
…000001000001110001101110
31001212101021012222110111112200
4302003022233001001301232
5212322421240102432342
62100053423042442330
764236101024253054
oct6203125701016156
91055337188414480
10220120010202222
1164156410273599
12208308960633a6
1395a92c68bc8a0
143c4dc186c21d4
151a6ac5ec4394c
hexc832af041c6e

220120010202222 has 96 divisors (see below), whose sum is σ = 519424398511200. Its totient is φ = 66963060274176.

The previous prime is 220120010202181. The next prime is 220120010202241. The reversal of 220120010202222 is 222202010021022.

220120010202222 is a `hidden beast` number, since 220 + 1 + 20 + 0 + 1 + 0 + 202 + 222 = 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 = 220120010202195 and 220120010202204.

It is a congruent number.

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, 273731154 + ... + 274534122.

It is an arithmetic number, because the mean of its divisors is an integer number (5410670817825).

Almost surely, 2220120010202222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220120010202222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259712199255600).

220120010202222 is an abundant number, since it is smaller than the sum of its proper divisors (299304388308978).

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

220120010202222 is a wasteful number, since it uses less digits than its factorization.

220120010202222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816242 (or 816239 counting only the distinct ones).

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

Adding to 220120010202222 its reverse (222202010021022), we get a palindrome (442322020223244).

The spelling of 220120010202222 in words is "two hundred twenty trillion, one hundred twenty billion, ten million, two hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 89 117 178 234 267 534 801 1157 1602 2314 3471 6942 10413 13163 20826 26326 39489 78978 118467 171119 236934 342238 513357 802969 1026714 1171507 1540071 1605938 2343014 2408907 3080142 3514521 4817814 7029042 7226721 10438597 10543563 14453442 15229591 20877194 21087126 30459182 31315791 45688773 62631582 71464241 91377546 93947373 137066319 142928482 187894746 214392723 274132638 428785446 643178169 929035133 1286356338 1858070266 2787105399 5574210798 8361316197 10569480947 16722632394 21138961894 31708442841 63416885682 95125328523 137403252311 190250657046 274806504622 412209756933 824419513866 940683804283 1236629270799 1881367608566 2473258541598 2822051412849 5644102825698 8466154238547 12228889455679 16932308477094 24457778911358 36686668367037 73373336734074 110060005101111 220120010202222