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214651793 is a prime number
BaseRepresentation
bin11001100101101…
…01001110010001
3112221220102220102
430302311032101
5414422324133
633144422145
75214336656
oct1462651621
9487812812
10214651793
11100190084
125ba77955
13356172c5
1420717c2d
1513ca07e8
hexccb5391

214651793 has 2 divisors, whose sum is σ = 214651794. Its totient is φ = 214651792.

The previous prime is 214651751. The next prime is 214651807. The reversal of 214651793 is 397156412.

214651793 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., 155176849 + 59474944 = 12457^2 + 7712^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-214651793 is a prime.

It is a super-3 number, since 3×2146517933 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (214651733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107325896 + 107325897.

It is an arithmetic number, because the mean of its divisors is an integer number (107325897).

Almost surely, 2214651793 is an apocalyptic number.

It is an amenable number.

214651793 is a deficient number, since it is larger than the sum of its proper divisors (1).

214651793 is an equidigital number, since it uses as much as digits as its factorization.

214651793 is an evil number, because the sum of its binary digits is even.

The product of its digits is 45360, while the sum is 38.

The square root of 214651793 is about 14650.9997269811. Note that the first 3 decimals coincide. The cubic root of 214651793 is about 598.7490538874.

The spelling of 214651793 in words is "two hundred fourteen million, six hundred fifty-one thousand, seven hundred ninety-three".