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214320493 is a prime number
BaseRepresentation
bin11001100011001…
…00010101101101
3112221021121110001
430301210111231
5414331223433
633133344301
75211460042
oct1461442555
9487247401
10214320493
11aaa84182
125b938091
133552c57a
142066d1c9
1513c3757d
hexcc6456d

214320493 has 2 divisors, whose sum is σ = 214320494. Its totient is φ = 214320492.

The previous prime is 214320467. The next prime is 214320497. The reversal of 214320493 is 394023412.

214320493 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., 155675529 + 58644964 = 12477^2 + 7658^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-214320493 is a prime.

It is a super-3 number, since 3×2143204933 (a number of 26 digits) contains 333 as substring.

It is equal to p11826703 and since 214320493 and 11826703 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214320497) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107160246 + 107160247.

It is an arithmetic number, because the mean of its divisors is an integer number (107160247).

Almost surely, 2214320493 is an apocalyptic number.

It is an amenable number.

214320493 is a deficient number, since it is larger than the sum of its proper divisors (1).

214320493 is an equidigital number, since it uses as much as digits as its factorization.

214320493 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 214320493 is about 14639.6889652752. The cubic root of 214320493 is about 598.4408528691.

The spelling of 214320493 in words is "two hundred fourteen million, three hundred twenty thousand, four hundred ninety-three".