Base | Representation |
---|---|
bin | 1100111111011111011… |
… | …0010001100110011001 |
3 | 210100010022001122110000 |
4 | 3033313312101212121 |
5 | 12124104043013223 |
6 | 250312023243213 |
7 | 22061066502234 |
oct | 3176766214631 |
9 | 710108048400 |
10 | 223201532313 |
11 | 8672849a8a1 |
12 | 373118a9509 |
13 | 18081080c16 |
14 | ab3567041b |
15 | 5c152e2543 |
hex | 33f7d91999 |
223201532313 has 20 divisors (see below), whose sum is σ = 333466709620. Its totient is φ = 148782189312.
The previous prime is 223201532243. The next prime is 223201532329. The reversal of 223201532313 is 313235102322.
It is a happy number.
223201532313 is a `hidden beast` number, since 2 + 2 + 320 + 1 + 5 + 323 + 13 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 39389547024 + 183811985289 = 198468^2 + 428733^2 .
It is not a de Polignac number, because 223201532313 - 213 = 223201524121 is a prime.
It is a super-3 number, since 3×2232015323133 (a number of 35 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (223201532353) 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, 484881 + ... + 825537.
It is an arithmetic number, because the mean of its divisors is an integer number (16673335481).
Almost surely, 2223201532313 is an apocalyptic number.
It is an amenable number.
223201532313 is a deficient number, since it is larger than the sum of its proper divisors (110265177307).
223201532313 is an equidigital number, since it uses as much as digits as its factorization.
223201532313 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 348758 (or 348749 counting only the distinct ones).
The product of its (nonzero) digits is 6480, while the sum is 27.
Adding to 223201532313 its reverse (313235102322), we get a palindrome (536436634635).
The spelling of 223201532313 in words is "two hundred twenty-three billion, two hundred one million, five hundred thirty-two thousand, three hundred thirteen".
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