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214059257 = 1759457467
BaseRepresentation
bin11001100001001…
…00100011111001
3112220210100002122
430300210203321
5414244344012
633124011025
75206321316
oct1460444371
9486710078
10214059257
11aa915985
125b830a75
133546a6a9
1420601d0d
1513bd4e72
hexcc248f9

214059257 has 16 divisors (see below), whose sum is σ = 231491520. Its totient is φ = 197196288.

The previous prime is 214059227. The next prime is 214059259. The reversal of 214059257 is 752950412.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-214059257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214059259) 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 15 ways as a sum of consecutive naturals, for example, 458138 + ... + 458604.

It is an arithmetic number, because the mean of its divisors is an integer number (14468220).

Almost surely, 2214059257 is an apocalyptic number.

It is an amenable number.

214059257 is a deficient number, since it is larger than the sum of its proper divisors (17432263).

214059257 is a wasteful number, since it uses less digits than its factorization.

214059257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000.

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 214059257 is about 14630.7640607044. The cubic root of 214059257 is about 598.1976067935.

The spelling of 214059257 in words is "two hundred fourteen million, fifty-nine thousand, two hundred fifty-seven".

Divisors: 1 17 59 457 467 1003 7769 7939 26963 27553 213419 458371 468401 3628123 12591721 214059257