Search a number
-
+
223205231 is a prime number
BaseRepresentation
bin11010100110111…
…01011101101111
3120120000000000102
431103131131233
5424120031411
634052021315
75350133054
oct1523353557
9516000012
10223205231
11104aa2437
126290183b
1337320602
142190302b
15148ded3b
hexd4dd76f

223205231 has 2 divisors, whose sum is σ = 223205232. Its totient is φ = 223205230.

The previous prime is 223205219. The next prime is 223205237. The reversal of 223205231 is 132502322.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 223205231 - 210 = 223204207 is a prime.

It is a super-3 number, since 3×2232052313 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223205237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111602615 + 111602616.

It is an arithmetic number, because the mean of its divisors is an integer number (111602616).

Almost surely, 2223205231 is an apocalyptic number.

223205231 is a deficient number, since it is larger than the sum of its proper divisors (1).

223205231 is an equidigital number, since it uses as much as digits as its factorization.

223205231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 223205231 is about 14940.0545849070. The cubic root of 223205231 is about 606.5986733295.

Adding to 223205231 its reverse (132502322), we get a palindrome (355707553).

The spelling of 223205231 in words is "two hundred twenty-three million, two hundred five thousand, two hundred thirty-one".