Base | Representation |
---|---|
bin | 1100110011100100000… |
… | …1011110101011100001 |
3 | 210000212011212000211222 |
4 | 3030321001132223201 |
5 | 12101030001134332 |
6 | 245022215544425 |
7 | 21615543216524 |
oct | 3147101365341 |
9 | 700764760758 |
10 | 220000021217 |
11 | 85335305159 |
12 | 3677968b115 |
13 | 17990a03662 |
14 | a9103b0bbb |
15 | 5ac91e6712 |
hex | 333905eae1 |
220000021217 has 2 divisors, whose sum is σ = 220000021218. Its totient is φ = 220000021216.
The previous prime is 220000021193. The next prime is 220000021231. The reversal of 220000021217 is 712120000022.
220000021217 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., 218463694801 + 1536326416 = 467401^2 + 39196^2 .
It is a cyclic number.
It is not a de Polignac number, because 220000021217 - 210 = 220000020193 is a prime.
It is a super-2 number, since 2×2200000212172 (a number of 23 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 220000021195 and 220000021204.
It is not a weakly prime, because it can be changed into another prime (220000021117) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110000010608 + 110000010609.
It is an arithmetic number, because the mean of its divisors is an integer number (110000010609).
Almost surely, 2220000021217 is an apocalyptic number.
It is an amenable number.
220000021217 is a deficient number, since it is larger than the sum of its proper divisors (1).
220000021217 is an equidigital number, since it uses as much as digits as its factorization.
220000021217 is an odious number, because the sum of its binary digits is odd.
The product of its (nonzero) digits is 112, while the sum is 17.
Adding to 220000021217 its reverse (712120000022), we get a palindrome (932120021239).
The spelling of 220000021217 in words is "two hundred twenty billion, twenty-one thousand, two hundred seventeen".
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