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214005581 is a prime number
BaseRepresentation
bin11001100000101…
…11011101001101
3112220200121110122
430300113131031
5414241134311
633122514325
75206005656
oct1460273515
9486617418
10214005581
11aa889619
125b8059a5
133544c12a
14205ca52d
1513bc40db
hexcc1774d

214005581 has 2 divisors, whose sum is σ = 214005582. Its totient is φ = 214005580.

The previous prime is 214005557. The next prime is 214005599. The reversal of 214005581 is 185500412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 167288356 + 46717225 = 12934^2 + 6835^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-214005581 is a prime.

It is a super-3 number, since 3×2140055813 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 214005581.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214005511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107002790 + 107002791.

It is an arithmetic number, because the mean of its divisors is an integer number (107002791).

Almost surely, 2214005581 is an apocalyptic number.

It is an amenable number.

214005581 is a deficient number, since it is larger than the sum of its proper divisors (1).

214005581 is an equidigital number, since it uses as much as digits as its factorization.

214005581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 214005581 is about 14628.9295917371. The cubic root of 214005581 is about 598.1476026664.

Adding to 214005581 its reverse (185500412), we get a palindrome (399505993).

The spelling of 214005581 in words is "two hundred fourteen million, five thousand, five hundred eighty-one".