Base | Representation |
---|---|
bin | 1010000011001100110101… |
… | …00101010100011011111110 |
3 | 2220020202110221200112102000 |
4 | 11001212122211110123332 |
5 | 10344042202223242342 |
6 | 115000405233243130 |
7 | 4440454364205366 |
oct | 501463245243376 |
9 | 86222427615360 |
10 | 22100200212222 |
11 | 7050707961370 |
12 | 258b2004034a6 |
13 | c440699875c2 |
14 | 5659265a79a6 |
15 | 284d2494a44c |
hex | 14199a9546fe |
22100200212222 has 128 divisors (see below), whose sum is σ = 53822973726720. Its totient is φ = 6666200845920.
The previous prime is 22100200212203. The next prime is 22100200212227. The reversal of 22100200212222 is 22221200200122.
22100200212222 is a `hidden beast` number, since 2 + 210 + 0 + 20 + 0 + 212 + 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 = 22100200212195 and 22100200212204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22100200212227) by changing a digit.
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, 836386903 + ... + 836413325.
It is an arithmetic number, because the mean of its divisors is an integer number (420491982240).
Almost surely, 222100200212222 is an apocalyptic number.
22100200212222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 22100200212222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26911486863360).
22100200212222 is an abundant number, since it is smaller than the sum of its proper divisors (31722773514498).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22100200212222 is a wasteful number, since it uses less digits than its factorization.
22100200212222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 32875 (or 32869 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 22100200212222 its reverse (22221200200122), we get a palindrome (44321400412344).
The spelling of 22100200212222 in words is "twenty-two trillion, one hundred billion, two hundred million, two hundred twelve thousand, two hundred twenty-two".
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