Base | Representation |
---|---|
bin | 1100111111100100000… |
… | …0111101010100010001 |
3 | 210100011122220022000202 |
4 | 3033321000331110101 |
5 | 12124124101010113 |
6 | 250314003024545 |
7 | 22061425062155 |
oct | 3177100752421 |
9 | 710148808022 |
10 | 223221110033 |
11 | 86738551929 |
12 | 3731836b155 |
13 | 1808514707c |
14 | ab380c9065 |
15 | 5c16dad258 |
hex | 33f903d511 |
223221110033 has 2 divisors, whose sum is σ = 223221110034. Its totient is φ = 223221110032.
The previous prime is 223221110023. The next prime is 223221110041. The reversal of 223221110033 is 330011122322.
223221110033 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., 150898840849 + 72322269184 = 388457^2 + 268928^2 .
It is a cyclic number.
It is not a de Polignac number, because 223221110033 - 28 = 223221109777 is a prime.
It is a super-3 number, since 3×2232211100333 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 223221109987 and 223221110014.
It is not a weakly prime, because it can be changed into another prime (223221110003) 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, 111610555016 + 111610555017.
It is an arithmetic number, because the mean of its divisors is an integer number (111610555017).
Almost surely, 2223221110033 is an apocalyptic number.
It is an amenable number.
223221110033 is a deficient number, since it is larger than the sum of its proper divisors (1).
223221110033 is an equidigital number, since it uses as much as digits as its factorization.
223221110033 is an odious number, because the sum of its binary digits is odd.
The product of its (nonzero) digits is 432, while the sum is 20.
Adding to 223221110033 its reverse (330011122322), we get a palindrome (553232232355).
The spelling of 223221110033 in words is "two hundred twenty-three billion, two hundred twenty-one million, one hundred ten thousand, thirty-three".
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