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222102022022120 = 23543791634545349
BaseRepresentation
bin110010100000000000101000…
…001000000110001111101000
31002010101202010210101010100002
4302200000220020012033220
5213102404420114201440
62104212132122402132
764532225103615302
oct6240005010061750
91063352123333302
10222102022022120
116484aa36275429
1220ab0a39960348
1396c11915016b6
143cbbb1c140972
151aa25b3900115
hexca00282063e8

222102022022120 has 64 divisors (see below), whose sum is σ = 517823966880000. Its totient is φ = 85676328960768.

The previous prime is 222102022022087. The next prime is 222102022022131. The reversal of 222102022022120 is 21220220201222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 222102022022092 and 222102022022101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 817136795 + ... + 817408554.

It is an arithmetic number, because the mean of its divisors is an integer number (8090999482500).

Almost surely, 2222102022022120 is an apocalyptic number.

222102022022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222102022022120 is an abundant number, since it is smaller than the sum of its proper divisors (295721944857880).

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

222102022022120 is a wasteful number, since it uses less digits than its factorization.

222102022022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634545482 (or 1634545478 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 222102022022120 its reverse (21220220201222), we get a palindrome (243322242223342).

The spelling of 222102022022120 in words is "two hundred twenty-two trillion, one hundred two billion, twenty-two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 79 86 158 172 215 316 344 395 430 632 790 860 1580 1720 3160 3397 6794 13588 16985 27176 33970 67940 135880 1634545349 3269090698 6538181396 8172726745 13076362792 16345453490 32690906980 65381813960 70285450007 129129082571 140570900014 258258165142 281141800028 351427250035 516516330284 562283600056 645645412855 702854500070 1033032660568 1291290825710 1405709000140 2582581651420 2811418000280 5165163302840 5552550550553 11105101101106 22210202202212 27762752752765 44420404404424 55525505505530 111051011011060 222102022022120