Base | Representation |
---|---|
bin | 11010100110011… |
… | …00010110111100 |
3 | 120112212102220100 |
4 | 31103030112330 |
5 | 424110311124 |
6 | 34050321100 |
7 | 5346421560 |
oct | 1523142674 |
9 | 515772810 |
10 | 223135164 |
11 | 104a5482a |
12 | 62889190 |
13 | 372c7755 |
14 | 218c56a0 |
15 | 148c91c9 |
hex | d4cc5bc |
223135164 has 144 divisors (see below), whose sum is σ = 702374400. Its totient is φ = 58278528.
The previous prime is 223135153. The next prime is 223135181. The reversal of 223135164 is 461531322.
It is a super-3 number, since 3×2231351643 (a number of 26 digits) contains 333 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138049 + ... + 139655.
It is an arithmetic number, because the mean of its divisors is an integer number (4877600).
Almost surely, 2223135164 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 223135164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351187200).
223135164 is an abundant number, since it is smaller than the sum of its proper divisors (479239236).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223135164 is a wasteful number, since it uses less digits than its factorization.
223135164 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1672 (or 1667 counting only the distinct ones).
The product of its digits is 4320, while the sum is 27.
The square root of 223135164 is about 14937.7094629665. The cubic root of 223135164 is about 606.5351936383.
Adding to 223135164 its reverse (461531322), we get a palindrome (684666486).
The spelling of 223135164 in words is "two hundred twenty-three million, one hundred thirty-five thousand, one hundred sixty-four".
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