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218348213 is a prime number
BaseRepresentation
bin11010000001110…
…11101010110101
3120012212020102212
431000323222311
5421344120323
633355543205
75260633466
oct1500735265
9505766385
10218348213
11102285276
126115ab05
133630c935
1420ddad6d
1514280b78
hexd03bab5

218348213 has 2 divisors, whose sum is σ = 218348214. Its totient is φ = 218348212.

The previous prime is 218348189. The next prime is 218348231. The reversal of 218348213 is 312843812.

Together with next prime (218348231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203433169 + 14915044 = 14263^2 + 3862^2 .

It is a cyclic number.

It is not a de Polignac number, because 218348213 - 26 = 218348149 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 218348213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (218348233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109174106 + 109174107.

It is an arithmetic number, because the mean of its divisors is an integer number (109174107).

Almost surely, 2218348213 is an apocalyptic number.

It is an amenable number.

218348213 is a deficient number, since it is larger than the sum of its proper divisors (1).

218348213 is an equidigital number, since it uses as much as digits as its factorization.

218348213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9216, while the sum is 32.

The square root of 218348213 is about 14776.6103352562. The cubic root of 218348213 is about 602.1664394483.

The spelling of 218348213 in words is "two hundred eighteen million, three hundred forty-eight thousand, two hundred thirteen".