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66122249 is a prime number
BaseRepresentation
bin1111110000111…
…1001000001001
311121102100200012
43330033020021
5113411402444
610321121305
71432013144
oct374171011
9147370605
1066122249
1134362696
121a189235
13109117bb
148ad305b
155c11b9e
hex3f0f209

66122249 has 2 divisors, whose sum is σ = 66122250. Its totient is φ = 66122248.

The previous prime is 66122239. The next prime is 66122257. The reversal of 66122249 is 94222166.

66122249 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., 51222649 + 14899600 = 7157^2 + 3860^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-66122249 is a prime.

It is a Chen prime.

It is equal to p3902954 and since 66122249 and 3902954 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (66122209) 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, 33061124 + 33061125.

It is an arithmetic number, because the mean of its divisors is an integer number (33061125).

Almost surely, 266122249 is an apocalyptic number.

It is an amenable number.

66122249 is a deficient number, since it is larger than the sum of its proper divisors (1).

66122249 is an equidigital number, since it uses as much as digits as its factorization.

66122249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10368, while the sum is 32.

The square root of 66122249 is about 8131.5588296464. The cubic root of 66122249 is about 404.3733620807.

The spelling of 66122249 in words is "sixty-six million, one hundred twenty-two thousand, two hundred forty-nine".