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214090529 is a prime number
BaseRepresentation
bin11001100001011…
…00001100100001
3112220211220222212
430300230030201
5414301344104
633124411505
75206511432
oct1460541441
9486756885
10214090529
11aa937424
125b846b95
133547b9b3
142060d489
1513bde36e
hexcc2c321

214090529 has 2 divisors, whose sum is σ = 214090530. Its totient is φ = 214090528.

The previous prime is 214090511. The next prime is 214090567. The reversal of 214090529 is 925090412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 177608929 + 36481600 = 13327^2 + 6040^2 .

It is a cyclic number.

It is not a de Polignac number, because 214090529 - 220 = 213041953 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 214090495 and 214090504.

It is not a weakly prime, because it can be changed into another prime (214090579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107045264 + 107045265.

It is an arithmetic number, because the mean of its divisors is an integer number (107045265).

Almost surely, 2214090529 is an apocalyptic number.

It is an amenable number.

214090529 is a deficient number, since it is larger than the sum of its proper divisors (1).

214090529 is an equidigital number, since it uses as much as digits as its factorization.

214090529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 214090529 is about 14631.8327286776. The cubic root of 214090529 is about 598.2267356820.

The spelling of 214090529 in words is "two hundred fourteen million, ninety thousand, five hundred twenty-nine".