Base | Representation |
---|---|
bin | 11010100110001… |
… | …10100000101101 |
3 | 120112211020001021 |
4 | 31103012200231 |
5 | 424104024323 |
6 | 34050014141 |
7 | 5346262003 |
oct | 1523064055 |
9 | 515736037 |
10 | 223111213 |
11 | 104a38836 |
12 | 62877351 |
13 | 372b9890 |
14 | 218baa73 |
15 | 148c205d |
hex | d4c682d |
223111213 has 16 divisors (see below), whose sum is σ = 256299120. Its totient is φ = 192393216.
The previous prime is 223111177. The next prime is 223111241. The reversal of 223111213 is 312111322.
It can be written as a sum of positive squares in 8 ways, for example, as 13527684 + 209583529 = 3678^2 + 14477^2 .
It is not a de Polignac number, because 223111213 - 217 = 222980141 is a prime.
It is a super-3 number, since 3×2231112133 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Duffinian number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223111253) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26593 + ... + 33961.
It is an arithmetic number, because the mean of its divisors is an integer number (16018695).
Almost surely, 2223111213 is an apocalyptic number.
It is an amenable number.
223111213 is a deficient number, since it is larger than the sum of its proper divisors (33187907).
223111213 is a wasteful number, since it uses less digits than its factorization.
223111213 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7536.
The product of its digits is 72, while the sum is 16.
The square root of 223111213 is about 14936.9077455811. The cubic root of 223111213 is about 606.5134913302.
Adding to 223111213 its reverse (312111322), we get a palindrome (535222535).
The spelling of 223111213 in words is "two hundred twenty-three million, one hundred eleven thousand, two hundred thirteen".
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