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217382089 is a prime number
BaseRepresentation
bin11001111010011…
…11110011001001
3120011001011011111
430331033303021
5421122211324
633323130321
75246501011
oct1475176311
9504034144
10217382089
11101785421
12609739a1
1336061c72
1420c28c41
151413e794
hexcf4fcc9

217382089 has 2 divisors, whose sum is σ = 217382090. Its totient is φ = 217382088.

The previous prime is 217382029. The next prime is 217382093. The reversal of 217382089 is 980283712.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 166616464 + 50765625 = 12908^2 + 7125^2 .

It is a cyclic number.

It is not a de Polignac number, because 217382089 - 219 = 216857801 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (217382029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108691044 + 108691045.

It is an arithmetic number, because the mean of its divisors is an integer number (108691045).

Almost surely, 2217382089 is an apocalyptic number.

It is an amenable number.

217382089 is a deficient number, since it is larger than the sum of its proper divisors (1).

217382089 is an equidigital number, since it uses as much as digits as its factorization.

217382089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 217382089 is about 14743.8831045285. The cubic root of 217382089 is about 601.2769922602.

The spelling of 217382089 in words is "two hundred seventeen million, three hundred eighty-two thousand, eighty-nine".