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214240217 is a prime number
BaseRepresentation
bin11001100010100…
…00101111011001
3112221010112022212
430301100233121
5414321141332
633131524505
75211004022
oct1461205731
9487115285
10214240217
11aaa29934
125b8b9735
1335501b79
142064bc49
1513c1d8b2
hexcc50bd9

214240217 has 2 divisors, whose sum is σ = 214240218. Its totient is φ = 214240216.

The previous prime is 214240153. The next prime is 214240231. The reversal of 214240217 is 712042412.

214240217 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., 140090896 + 74149321 = 11836^2 + 8611^2 .

It is a cyclic number.

It is not a de Polignac number, because 214240217 - 26 = 214240153 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 214240192 and 214240201.

It is not a weakly prime, because it can be changed into another prime (214240277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107120108 + 107120109.

It is an arithmetic number, because the mean of its divisors is an integer number (107120109).

Almost surely, 2214240217 is an apocalyptic number.

It is an amenable number.

214240217 is a deficient number, since it is larger than the sum of its proper divisors (1).

214240217 is an equidigital number, since it uses as much as digits as its factorization.

214240217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 214240217 is about 14636.9469835755. The cubic root of 214240217 is about 598.3661260950.

Adding to 214240217 its reverse (712042412), we get a palindrome (926282629).

The spelling of 214240217 in words is "two hundred fourteen million, two hundred forty thousand, two hundred seventeen".