Base | Representation |
---|---|
bin | 1100111111100010001… |
… | …0111001100011111101 |
3 | 210100011010001222010000 |
4 | 3033320202321203331 |
5 | 12124120041332313 |
6 | 250313122104513 |
7 | 22061301103242 |
oct | 3177042714375 |
9 | 710133058100 |
10 | 223213230333 |
11 | 8673405a785 |
12 | 373157ab139 |
13 | 18083618622 |
14 | ab370375c9 |
15 | 5c16353673 |
hex | 33f88b98fd |
223213230333 has 20 divisors (see below), whose sum is σ = 342453936220. Its totient is φ = 144786958272.
The previous prime is 223213230329. The next prime is 223213230367. The reversal of 223213230333 is 333032312322.
223213230333 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 1 + 323 + 0 + 333 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 83058087204 + 140155143129 = 288198^2 + 374373^2 .
It is not a de Polignac number, because 223213230333 - 22 = 223213230329 is a prime.
It is a super-3 number, since 3×2232132303333 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 223213230297 and 223213230306.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223213230433) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37236448 + ... + 37242441.
It is an arithmetic number, because the mean of its divisors is an integer number (17122696811).
Almost surely, 2223213230333 is an apocalyptic number.
It is an amenable number.
223213230333 is a deficient number, since it is larger than the sum of its proper divisors (119240705887).
223213230333 is an equidigital number, since it uses as much as digits as its factorization.
223213230333 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 74478938 (or 74478929 counting only the distinct ones).
The product of its (nonzero) digits is 11664, while the sum is 27.
Adding to 223213230333 its reverse (333032312322), we get a palindrome (556245542655).
The spelling of 223213230333 in words is "two hundred twenty-three billion, two hundred thirteen million, two hundred thirty thousand, three hundred thirty-three".
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