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214001561 is a prime number
BaseRepresentation
bin11001100000101…
…10011110011001
3112220200101221202
430300112132121
5414241022221
633122443545
75205661154
oct1460263631
9486611852
10214001561
11aa8865a4
125b8035b5
133544a357
14205c8c9b
1513bc2d0b
hexcc16799

214001561 has 2 divisors, whose sum is σ = 214001562. Its totient is φ = 214001560.

The previous prime is 214001539. The next prime is 214001563. The reversal of 214001561 is 165100412.

214001561 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., 183087961 + 30913600 = 13531^2 + 5560^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-214001561 is a prime.

It is a super-2 number, since 2×2140015612 = 91593336220873442, which contains 22 as substring.

Together with 214001563, 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 (214001563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107000780 + 107000781.

It is an arithmetic number, because the mean of its divisors is an integer number (107000781).

Almost surely, 2214001561 is an apocalyptic number.

It is an amenable number.

214001561 is a deficient number, since it is larger than the sum of its proper divisors (1).

214001561 is an equidigital number, since it uses as much as digits as its factorization.

214001561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 214001561 is about 14628.7921921121. The cubic root of 214001561 is about 598.1438573304.

Adding to 214001561 its reverse (165100412), we get a palindrome (379101973).

The spelling of 214001561 in words is "two hundred fourteen million, one thousand, five hundred sixty-one".