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214000585 = 5290914713
BaseRepresentation
bin11001100000101…
…10001111001001
3112220200100121121
430300112033021
5414241004320
633122435241
75205655261
oct1460261711
9486610547
10214000585
11aa885897
125b802b21
1335449a86
14205c87a1
1513bc28aa
hexcc163c9

214000585 has 8 divisors (see below), whose sum is σ = 256906440. Its totient is φ = 171129984.

The previous prime is 214000583. The next prime is 214000597. The reversal of 214000585 is 585000412.

It can be written as a sum of positive squares in 4 ways, for example, as 79138816 + 134861769 = 8896^2 + 11613^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 214000585 - 21 = 214000583 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214000583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7189 + ... + 21901.

It is an arithmetic number, because the mean of its divisors is an integer number (32113305).

Almost surely, 2214000585 is an apocalyptic number.

It is an amenable number.

214000585 is a deficient number, since it is larger than the sum of its proper divisors (42905855).

214000585 is a wasteful number, since it uses less digits than its factorization.

214000585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17627.

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 214000585 is about 14628.7588332025. The cubic root of 214000585 is about 598.1429480079.

Adding to 214000585 its reverse (585000412), we get a palindrome (799000997).

The spelling of 214000585 in words is "two hundred fourteen million, five hundred eighty-five", and thus it is an aban number.

Divisors: 1 5 2909 14545 14713 73565 42800117 214000585