Base | Representation |
---|---|
bin | 100000010101100110110… |
… | …000100111010111011110 |
3 | 21212102221110221210121220 |
4 | 200111212300213113132 |
5 | 242402102330042342 |
6 | 4420512540034210 |
7 | 316356510202200 |
oct | 40254660472736 |
9 | 7772843853556 |
10 | 2222222112222 |
11 | 7874914a3892 |
12 | 2ba821832966 |
13 | 131729732478 |
14 | 797b000c770 |
15 | 3cc123065ec |
hex | 20566c275de |
2222222112222 has 96 divisors (see below), whose sum is σ = 5442931860480. Its totient is φ = 601420256640.
The previous prime is 2222222112199. The next prime is 2222222112233. The reversal of 2222222112222 is 2222112222222.
2222222112222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×22222221122222 (a number of 25 digits) contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a zygodrome in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 2222222112192 and 2222222112201.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47574963 + ... + 47621649.
It is an arithmetic number, because the mean of its divisors is an integer number (56697206880).
Almost surely, 22222222112222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2222222112222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721465930240).
2222222112222 is an abundant number, since it is smaller than the sum of its proper divisors (3220709748258).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2222222112222 is a wasteful number, since it uses less digits than its factorization.
2222222112222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 55246 (or 55239 counting only the distinct ones).
The product of its digits is 2048, while the sum is 24.
Adding to 2222222112222 its reverse (2222112222222), we get a palindrome (4444334334444).
The spelling of 2222222112222 in words is "two trillion, two hundred twenty-two billion, two hundred twenty-two million, one hundred twelve thousand, two hundred twenty-two".
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