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223041321 = 32113219313
BaseRepresentation
bin11010100101101…
…01011100101001
3120112200200011200
431102311130221
5424044310241
634044314413
75345551146
oct1522653451
9515620150
10223041321
111049a0278
1262842a09
1337293b19
142189d3cd
15148ab4b6
hexd4b5729

223041321 has 12 divisors (see below), whose sum is σ = 325023348. Its totient is φ = 147377664.

The previous prime is 223041307. The next prime is 223041341. The reversal of 223041321 is 123140322.

223041321 is a `hidden beast` number, since 2 + 230 + 413 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 118265625 + 104775696 = 10875^2 + 10236^2 .

It is not a de Polignac number, because 223041321 - 25 = 223041289 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 223041294 and 223041303.

It is not an unprimeable number, because it can be changed into a prime (223041341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108640 + ... + 110673.

It is an arithmetic number, because the mean of its divisors is an integer number (27085279).

Almost surely, 2223041321 is an apocalyptic number.

It is an amenable number.

223041321 is a deficient number, since it is larger than the sum of its proper divisors (101982027).

223041321 is a wasteful number, since it uses less digits than its factorization.

223041321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219432 (or 219429 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 223041321 is about 14934.5679883952. The cubic root of 223041321 is about 606.4501524128.

Adding to 223041321 its reverse (123140322), we get a palindrome (346181643).

Subtracting from 223041321 its reverse (123140322), we obtain a palindrome (99900999).

The spelling of 223041321 in words is "two hundred twenty-three million, forty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 113 339 1017 219313 657939 1973817 24782369 74347107 223041321