Base | Representation |
---|---|
bin | 1010000011010000100100… |
… | …11000111001011111000100 |
3 | 2220020221200000212121111100 |
4 | 11001220102120321133010 |
5 | 10344110311304101040 |
6 | 115001340514540100 |
7 | 4440555242050305 |
oct | 501502230713704 |
9 | 86227600777440 |
10 | 22102210222020 |
11 | 7051549515495 |
12 | 258b681597630 |
13 | c442ca227b06 |
14 | 565a7750a7ac |
15 | 284de1138b30 |
hex | 141a126397c4 |
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".
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