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206666641 is a prime number
BaseRepresentation
bin11000101000101…
…11101110010001
3112101212202100001
430110113232101
5410401313031
632301330001
75056431436
oct1424275621
9471782301
10206666641
11a6726785
1259266901
1333a7c86c
141d639b8d
1513224861
hexc517b91

206666641 has 2 divisors, whose sum is σ = 206666642. Its totient is φ = 206666640.

The previous prime is 206666617. The next prime is 206666657. The reversal of 206666641 is 146666602.

206666641 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., 137710225 + 68956416 = 11735^2 + 8304^2 .

It is a cyclic number.

It is not a de Polignac number, because 206666641 - 223 = 198278033 is a prime.

It is a super-2 number, since 2×2066666412 = 85422201004445762, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 206666641.

It is not a weakly prime, because it can be changed into another prime (206666611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 103333320 + 103333321.

It is an arithmetic number, because the mean of its divisors is an integer number (103333321).

Almost surely, 2206666641 is an apocalyptic number.

It is an amenable number.

206666641 is a deficient number, since it is larger than the sum of its proper divisors (1).

206666641 is an equidigital number, since it uses as much as digits as its factorization.

206666641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 206666641 is about 14375.9048758678. The cubic root of 206666641 is about 591.2304503903.

The spelling of 206666641 in words is "two hundred six million, six hundred sixty-six thousand, six hundred forty-one".