Base | Representation |
---|---|
bin | 11010100101100… |
… | …11001110001000 |
3 | 120112200012122212 |
4 | 31102303032020 |
5 | 424044012300 |
6 | 34044204252 |
7 | 5345512436 |
oct | 1522631610 |
9 | 515605585 |
10 | 223032200 |
11 | 104994436 |
12 | 62839688 |
13 | 3728c921 |
14 | 21899d56 |
15 | 148a8935 |
hex | d4b3388 |
223032200 has 48 divisors (see below), whose sum is σ = 519633780. Its totient is φ = 89026560.
The previous prime is 223032181. The next prime is 223032211. The reversal of 223032200 is 2230322.
It can be written as a sum of positive squares in 6 ways, for example, as 44382244 + 178649956 = 6662^2 + 13366^2 .
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 11 ways as a sum of consecutive naturals, for example, 133772 + ... + 135428.
Almost surely, 2223032200 is an apocalyptic number.
223032200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
223032200 is an abundant number, since it is smaller than the sum of its proper divisors (296601580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223032200 is a wasteful number, since it uses less digits than its factorization.
223032200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2346 (or 2337 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 14.
The square root of 223032200 is about 14934.2626198952. The cubic root of 223032200 is about 606.4418856228.
Adding to 223032200 its reverse (2230322), we get a palindrome (225262522).
Multiplying 223032200 by its reverse (2230322), we get a square (497433622368400 = 223032202).
223032200 divided by its reverse (2230322) gives a square (100 = 102).
The spelling of 223032200 in words is "two hundred twenty-three million, thirty-two thousand, two hundred".
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