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217238209 is a prime number
BaseRepresentation
bin11001111001011…
…00101011000001
3120010202211210121
430330230223001
5421103110314
633320100241
75245331356
oct1474545301
9503684717
10217238209
11101697311
1260904681
1336011626
1420bcc62d
1514111d24
hexcf2cac1

217238209 has 2 divisors, whose sum is σ = 217238210. Its totient is φ = 217238208.

The previous prime is 217238179. The next prime is 217238233. The reversal of 217238209 is 902832712.

217238209 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., 152596609 + 64641600 = 12353^2 + 8040^2 .

It is a cyclic number.

It is not a de Polignac number, because 217238209 - 213 = 217230017 is a prime.

It is not a weakly prime, because it can be changed into another prime (217238239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108619104 + 108619105.

It is an arithmetic number, because the mean of its divisors is an integer number (108619105).

Almost surely, 2217238209 is an apocalyptic number.

It is an amenable number.

217238209 is a deficient number, since it is larger than the sum of its proper divisors (1).

217238209 is an equidigital number, since it uses as much as digits as its factorization.

217238209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 217238209 is about 14739.0029852769. The cubic root of 217238209 is about 601.1443060336.

The spelling of 217238209 in words is "two hundred seventeen million, two hundred thirty-eight thousand, two hundred nine".