Base | Representation |
---|---|
bin | 1100111111100010001… |
… | …0100001100111001001 |
3 | 210100011002212222112200 |
4 | 3033320202201213021 |
5 | 12124120030212413 |
6 | 250313120030413 |
7 | 22061300214240 |
oct | 3177042414711 |
9 | 710132788480 |
10 | 223213132233 |
11 | 86733aa3003 |
12 | 37315762409 |
13 | 180835b2a90 |
14 | ab3700d957 |
15 | 5c16334573 |
hex | 33f88a19c9 |
223213132233 has 96 divisors (see below), whose sum is σ = 420381561600. Its totient is φ = 110756118528.
The previous prime is 223213132183. The next prime is 223213132271. The reversal of 223213132233 is 332231312322.
223213132233 is a `hidden beast` number, since 2 + 2 + 321 + 313 + 2 + 23 + 3 = 666.
223213132233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 223213132233 - 210 = 223213131209 is a prime.
It is a super-3 number, since 3×2232131322333 (a number of 35 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 223213132197 and 223213132206.
It is not an unprimeable number, because it can be changed into a prime (223213132133) 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 in 95 ways as a sum of consecutive naturals, for example, 44119458 + ... + 44124516.
It is an arithmetic number, because the mean of its divisors is an integer number (4378974600).
Almost surely, 2223213132233 is an apocalyptic number.
It is an amenable number.
223213132233 is a deficient number, since it is larger than the sum of its proper divisors (197168429367).
223213132233 is a wasteful number, since it uses less digits than its factorization.
223213132233 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8271 (or 8268 counting only the distinct ones).
The product of its digits is 7776, while the sum is 27.
Adding to 223213132233 its reverse (332231312322), we get a palindrome (555444444555).
The spelling of 223213132233 in words is "two hundred twenty-three billion, two hundred thirteen million, one hundred thirty-two thousand, two hundred thirty-three".
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