Base | Representation |
---|---|
bin | 11010100111110… |
… | …01110000100001 |
3 | 120120012212222122 |
4 | 31103321300201 |
5 | 424132233441 |
6 | 34054314025 |
7 | 5351124662 |
oct | 1523716041 |
9 | 516185878 |
10 | 223321121 |
11 | 105071511 |
12 | 62958915 |
13 | 3736129a |
14 | 21933369 |
15 | 1491434b |
hex | d4f9c21 |
223321121 has 2 divisors, whose sum is σ = 223321122. Its totient is φ = 223321120.
The previous prime is 223321103. The next prime is 223321123. The reversal of 223321121 is 121123322.
223321121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a strong prime.
It can be written as a sum of positive squares in only one way, i.e., 124099600 + 99221521 = 11140^2 + 9961^2 .
It is a cyclic number.
It is not a de Polignac number, because 223321121 - 226 = 156212257 is a prime.
Together with 223321123, it forms a pair of twin primes.
It is a Chen prime.
It is a self number, because there is not a number n which added to its sum of digits gives 223321121.
It is not a weakly prime, because it can be changed into another prime (223321123) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111660560 + 111660561.
It is an arithmetic number, because the mean of its divisors is an integer number (111660561).
Almost surely, 2223321121 is an apocalyptic number.
It is an amenable number.
223321121 is a deficient number, since it is larger than the sum of its proper divisors (1).
223321121 is an equidigital number, since it uses as much as digits as its factorization.
223321121 is an evil number, because the sum of its binary digits is even.
The product of its digits is 144, while the sum is 17.
The square root of 223321121 is about 14943.9325814860. The cubic root of 223321121 is about 606.7036388462.
Adding to 223321121 its reverse (121123322), we get a palindrome (344444443).
The spelling of 223321121 in words is "two hundred twenty-three million, three hundred twenty-one thousand, one hundred twenty-one".
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