Base | Representation |
---|---|
bin | 11010100101010… |
… | …11011010001000 |
3 | 120112121120202200 |
4 | 31102223122020 |
5 | 424042001300 |
6 | 34043400200 |
7 | 5345320233 |
oct | 1522533210 |
9 | 515546680 |
10 | 223000200 |
11 | 104972395 |
12 | 62823060 |
13 | 3727b1a7 |
14 | 2188c41a |
15 | 1489e200 |
hex | d4ab688 |
223000200 has 144 divisors (see below), whose sum is σ = 753569700. Its totient is φ = 59097600.
The previous prime is 223000177. The next prime is 223000213. The reversal of 223000200 is 2000322.
It can be written as a sum of positive squares in 6 ways, for example, as 126292644 + 96707556 = 11238^2 + 9834^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is an unprimeable number.
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 35 ways as a sum of consecutive naturals, for example, 411930 + ... + 412470.
Almost surely, 2223000200 is an apocalyptic number.
223000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 223000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376784850).
223000200 is an abundant number, since it is smaller than the sum of its proper divisors (530569500).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223000200 is a wasteful number, since it uses less digits than its factorization.
223000200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 792 (or 780 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 9.
The square root of 223000200 is about 14933.1912195619. The cubic root of 223000200 is about 606.4128807399.
Adding to 223000200 its reverse (2000322), we get a palindrome (225000522).
The spelling of 223000200 in words is "two hundred twenty-three million, two hundred", and thus it is an aban number.
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