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223082513 is a prime number
BaseRepresentation
bin11010100101111…
…11100000010001
3120112202202200022
431102333200101
5424102120023
634045233225
75346112223
oct1522774021
9515682608
10223082513
11104a19215
1262862815
13372a97b4
14218b0413
15148b87c8
hexd4bf811

223082513 has 2 divisors, whose sum is σ = 223082514. Its totient is φ = 223082512.

The previous prime is 223082467. The next prime is 223082527. The reversal of 223082513 is 315280322.

223082513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 218537089 + 4545424 = 14783^2 + 2132^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223082513 is a prime.

It is a super-3 number, since 3×2230825133 (a number of 26 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223082113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111541256 + 111541257.

It is an arithmetic number, because the mean of its divisors is an integer number (111541257).

Almost surely, 2223082513 is an apocalyptic number.

It is an amenable number.

223082513 is a deficient number, since it is larger than the sum of its proper divisors (1).

223082513 is an equidigital number, since it uses as much as digits as its factorization.

223082513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 223082513 is about 14935.9470071368. The cubic root of 223082513 is about 606.4874838466.

The spelling of 223082513 in words is "two hundred twenty-three million, eighty-two thousand, five hundred thirteen".