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2022201120222 = 2334159139111373
BaseRepresentation
bin11101011011010100100…
…101000101010111011110
321011022122200011121112000
4131123110211011113132
5231112431441321342
64144553020023130
7266046012625053
oct35332445052736
97138580147460
102022201120222
1170a6798a5028
12287abb091aa6
13118900c734ba
146dc3722502a
15379070d744c
hex1d6d49455de

2022201120222 has 128 divisors (see below), whose sum is σ = 4715129664000. Its totient is φ = 641823471360.

The previous prime is 2022201120209. The next prime is 2022201120239. The reversal of 2022201120222 is 2220211022202.

2022201120222 is a `hidden beast` number, since 202 + 220 + 1 + 1 + 20 + 222 = 666.

It is a super-2 number, since 2×20222011202222 (a number of 25 digits) contains 22 as substring.

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 = 2022201120195 and 2022201120204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18101328 + ... + 18212700.

It is an arithmetic number, because the mean of its divisors is an integer number (36836950500).

Almost surely, 22022201120222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022201120222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357564832000).

2022201120222 is an abundant number, since it is smaller than the sum of its proper divisors (2692928543778).

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

2022201120222 is a wasteful number, since it uses less digits than its factorization.

2022201120222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111623 (or 111617 counting only the distinct ones).

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

Adding to 2022201120222 its reverse (2220211022202), we get a palindrome (4242412142424).

The spelling of 2022201120222 in words is "two trillion, twenty-two billion, two hundred one million, one hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 41 54 59 82 118 123 139 177 246 278 354 369 417 531 738 834 1062 1107 1251 1593 2214 2419 2502 3186 3753 4838 5699 7257 7506 8201 11398 14514 16402 17097 21771 24603 34194 43542 49206 51291 65313 73809 102582 111373 130626 147618 153873 221427 222746 307746 334119 336241 442854 668238 672482 1002357 1008723 2004714 2017446 3007071 3026169 4566293 6014142 6052338 6571007 9078507 9132586 13142014 13698879 15480847 18157014 19713021 27397758 30961694 39426042 41096637 46442541 59139063 82193274 92885082 118278126 123289911 139327623 177417189 246579822 269411287 278655246 354834378 417982869 538822574 634714727 808233861 835965738 913369973 1269429454 1616467722 1826739946 1904144181 2424701583 2740109919 3808288362 4849403166 5480219838 5712432543 7274104749 8220329757 11424865086 14548209498 16440659514 17137297629 24660989271 34274595258 37448168893 49321978542 74896337786 112344506679 224689013358 337033520037 674067040074 1011100560111 2022201120222