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214004641 is a prime number
BaseRepresentation
bin11001100000101…
…11001110100001
3112220200120011211
430300113032201
5414241122031
633122510121
75206003144
oct1460271641
9486616154
10214004641
11aa888944
125b805341
133544b886
14205ca05b
1513bc3bb1
hexcc173a1

214004641 has 2 divisors, whose sum is σ = 214004642. Its totient is φ = 214004640.

The previous prime is 214004639. The next prime is 214004689. The reversal of 214004641 is 146400412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136212241 + 77792400 = 11671^2 + 8820^2 .

It is a cyclic number.

It is not a de Polignac number, because 214004641 - 21 = 214004639 is a prime.

Together with 214004639, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (214004611) 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 as a sum of consecutive naturals, namely, 107002320 + 107002321.

It is an arithmetic number, because the mean of its divisors is an integer number (107002321).

Almost surely, 2214004641 is an apocalyptic number.

It is an amenable number.

214004641 is a deficient number, since it is larger than the sum of its proper divisors (1).

214004641 is an equidigital number, since it uses as much as digits as its factorization.

214004641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 214004641 is about 14628.8974635821. The cubic root of 214004641 is about 598.1467268955.

The spelling of 214004641 in words is "two hundred fourteen million, four thousand, six hundred forty-one".