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22102210222020 = 22325177222944517
BaseRepresentation
bin1010000011010000100100…
…11000111001011111000100
32220020221200000212121111100
411001220102120321133010
510344110311304101040
6115001340514540100
74440555242050305
oct501502230713704
986227600777440
1022102210222020
117051549515495
12258b681597630
13c442ca227b06
14565a7750a7ac
15284de1138b30
hex141a126397c4

22102210222020 has 72 divisors (see below), whose sum is σ = 70987098722904. Its totient is φ = 5547221388288.

The previous prime is 22102210221989. The next prime is 22102210222171. The reversal of 22102210222020 is 2022201220122.

22102210222020 is a `hidden beast` number, since 2 + 210 + 2 + 210 + 2 + 220 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1387113906564 + 20715096315456 = 1177758^2 + 4551384^2 .

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 = 22102210221984 and 22102210222002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3611469199 + ... + 3611475318.

It is an arithmetic number, because the mean of its divisors is an integer number (985931926707).

Almost surely, 222102210222020 is an apocalyptic number.

22102210222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102210222020 is an abundant number, since it is smaller than the sum of its proper divisors (48884888500884).

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

22102210222020 is a wasteful number, since it uses less digits than its factorization.

22102210222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7222944549 (or 7222944544 counting only the distinct ones).

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

Adding to 22102210222020 its reverse (2022201220122), we get a palindrome (24124411442142).

The spelling of 22102210222020 in words is "twenty-two trillion, one hundred two billion, two hundred ten million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 7222944517 14445889034 21668833551 28891778068 36114722585 43337667102 65006500653 72229445170 86675334204 108344167755 122790056789 130013001306 144458890340 216688335510 245580113578 260026002612 325032503265 368370170367 433376671020 491160227156 613950283945 650065006530 736740340734 1105110511101 1227900567890 1300130013060 1473480681468 1841850851835 2210221022202 2455801135780 3683701703670 4420442044404 5525552555505 7367403407340 11051105111010 22102210222020