Base | Representation |
---|---|
bin | 100000010101100000110… |
… | …011100001101101111110 |
3 | 21212102200111222100120220 |
4 | 200111200303201231332 |
5 | 242401401241242342 |
6 | 4420455010522210 |
7 | 316354155104433 |
oct | 40254063415576 |
9 | 7772614870526 |
10 | 2222122212222 |
11 | 787440070500 |
12 | 2ba7b4296366 |
13 | 131711b25343 |
14 | 797a0a45b8a |
15 | 3cc086715ec |
hex | 20560ce1b7e |
2222122212222 has 144 divisors (see below), whose sum is σ = 4964280504624. Its totient is φ = 662545664000.
The previous prime is 2222122212203. The next prime is 2222122212223.
2222122212222 is nontrivially palindromic in base 10.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 2222122212192 and 2222122212201.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2222122212223) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6294963598 + ... + 6294963950.
It is an arithmetic number, because the mean of its divisors is an integer number (34474170171).
Almost surely, 22222122212222 is an apocalyptic number.
2222122212222 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 2222122212222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482140252312).
2222122212222 is an abundant number, since it is smaller than the sum of its proper divisors (2742158292402).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2222122212222 is a wasteful number, since it uses less digits than its factorization.
2222122212222 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1067 (or 763 counting only the distinct ones).
The product of its digits is 2048, while the sum is 24.
The spelling of 2222122212222 in words is "two trillion, two hundred twenty-two billion, one hundred twenty-two million, two hundred twelve thousand, two hundred twenty-two".
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