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223198081 is a prime number
BaseRepresentation
bin11010100110110…
…11101110000001
3120112222122012121
431103123232001
5424114314311
634051524241
75350103161
oct1523335601
9515878177
10223198081
11104a98027
12628b9681
133731a292
14219005a1
15148dcb71
hexd4dbb81

223198081 has 2 divisors, whose sum is σ = 223198082. Its totient is φ = 223198080.

The previous prime is 223198069. The next prime is 223198093. The reversal of 223198081 is 180891322.

It is a balanced prime because it is at equal distance from previous prime (223198069) and next prime (223198093).

It can be written as a sum of positive squares in only one way, i.e., 174477681 + 48720400 = 13209^2 + 6980^2 .

It is a cyclic number.

It is not a de Polignac number, because 223198081 - 211 = 223196033 is a prime.

It is a super-3 number, since 3×2231980813 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is equal to p12289066 and since 223198081 and 12289066 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (223198051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111599040 + 111599041.

It is an arithmetic number, because the mean of its divisors is an integer number (111599041).

Almost surely, 2223198081 is an apocalyptic number.

It is an amenable number.

223198081 is a deficient number, since it is larger than the sum of its proper divisors (1).

223198081 is an equidigital number, since it uses as much as digits as its factorization.

223198081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 223198081 is about 14939.8152933696. The cubic root of 223198081 is about 606.5921961414.

The spelling of 223198081 in words is "two hundred twenty-three million, one hundred ninety-eight thousand, eighty-one".