Base | Representation |
---|---|
bin | 100000010101011001110… |
… | …010001100011001100001 |
3 | 21212102101022100000010000 |
4 | 200111121302030121201 |
5 | 242401131113002431 |
6 | 4420435202130213 |
7 | 316351224646422 |
oct | 40253162143141 |
9 | 7772338300100 |
10 | 2222004422241 |
11 | 78738a62910a |
12 | 2ba780950969 |
13 | 1316c35c3326 |
14 | 7978d143649 |
15 | 3cbed1559e6 |
hex | 20559c8c661 |
2222004422241 has 20 divisors (see below), whose sum is σ = 3321433604500. Its totient is φ = 1480379880096.
The previous prime is 2222004422219. The next prime is 2222004422327. The reversal of 2222004422241 is 1422244002222.
It can be written as a sum of positive squares in 2 ways, for example, as 1554188582241 + 667815840000 = 1246671^2 + 817200^2 .
It is a de Polignac number, because none of the positive numbers 2k-2222004422241 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (2222004022241) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8729326 + ... + 8980263.
It is an arithmetic number, because the mean of its divisors is an integer number (166071680225).
Almost surely, 22222004422241 is an apocalyptic number.
It is an amenable number.
2222004422241 is a deficient number, since it is larger than the sum of its proper divisors (1099429182259).
2222004422241 is a wasteful number, since it uses less digits than its factorization.
2222004422241 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17711150 (or 17711141 counting only the distinct ones).
The product of its (nonzero) digits is 8192, while the sum is 27.
Adding to 2222004422241 its reverse (1422244002222), we get a palindrome (3644248424463).
The spelling of 2222004422241 in words is "two trillion, two hundred twenty-two billion, four million, four hundred twenty-two thousand, two hundred forty-one".
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