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223300321 = 1761349617
BaseRepresentation
bin11010100111101…
…00101011100001
3120120011211110021
431103310223201
5424131102241
634054033441
75351010226
oct1523645341
9516154407
10223300321
11105057922
1262948881
133735498a
142192994d
151490d0d1
hexd4f4ae1

223300321 has 16 divisors (see below), whose sum is σ = 241390800. Its totient is φ = 205793280.

The previous prime is 223300313. The next prime is 223300327. The reversal of 223300321 is 123003322.

It can be written as a sum of positive squares in 8 ways, for example, as 24800400 + 198499921 = 4980^2 + 14089^2 .

It is a cyclic number.

It is not a de Polignac number, because 223300321 - 23 = 223300313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 223300295 and 223300304.

It is not an unprimeable number, because it can be changed into a prime (223300327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361605 + ... + 362221.

It is an arithmetic number, because the mean of its divisors is an integer number (15086925).

Almost surely, 2223300321 is an apocalyptic number.

It is an amenable number.

223300321 is a deficient number, since it is larger than the sum of its proper divisors (18090479).

223300321 is a wasteful number, since it uses less digits than its factorization.

223300321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044.

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 223300321 is about 14943.2366306634. The cubic root of 223300321 is about 606.6848022527.

Adding to 223300321 its reverse (123003322), we get a palindrome (346303643).

The spelling of 223300321 in words is "two hundred twenty-three million, three hundred thousand, three hundred twenty-one".

Divisors: 1 17 61 349 617 1037 5933 10489 21289 37637 215333 361913 639829 3660661 13135313 223300321