Base | Representation |
---|---|
bin | 11010100101011… |
… | …00101000100000 |
3 | 120112121211122110 |
4 | 31102230220200 |
5 | 424042131331 |
6 | 34043435320 |
7 | 5345340660 |
oct | 1522545040 |
9 | 515554573 |
10 | 223005216 |
11 | 104976135 |
12 | 62825b40 |
13 | 37280565 |
14 | 218901a0 |
15 | 148a0946 |
hex | d4aca20 |
223005216 has 96 divisors (see below), whose sum is σ = 687173760. Its totient is φ = 61986816.
The previous prime is 223005187. The next prime is 223005239. The reversal of 223005216 is 612500322.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a junction number, because it is equal to n+sod(n) for n = 223005192 and 223005201.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20380 + ... + 29348.
It is an arithmetic number, because the mean of its divisors is an integer number (7158060).
Almost surely, 2223005216 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 223005216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343586880).
223005216 is an abundant number, since it is smaller than the sum of its proper divisors (464168544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223005216 is a wasteful number, since it uses less digits than its factorization.
223005216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9026 (or 9018 counting only the distinct ones).
The product of its (nonzero) digits is 720, while the sum is 21.
The square root of 223005216 is about 14933.3591666443. The cubic root of 223005216 is about 606.4174274387.
Adding to 223005216 its reverse (612500322), we get a palindrome (835505538).
The spelling of 223005216 in words is "two hundred twenty-three million, five thousand, two hundred sixteen".
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