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214364993 is a prime number
BaseRepresentation
bin11001100011011…
…11001101000001
3112221100212111012
430301233031001
5414334134433
633134330305
75212033553
oct1461571501
9487325435
10214364993
11100004657
125b959995
13355468bb
14206814d3
1513c45848
hexcc6f341

214364993 has 2 divisors, whose sum is σ = 214364994. Its totient is φ = 214364992.

The previous prime is 214364971. The next prime is 214365001. The reversal of 214364993 is 399463412.

214364993 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., 135652609 + 78712384 = 11647^2 + 8872^2 .

It is a cyclic number.

It is not a de Polignac number, because 214364993 - 28 = 214364737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 214364993.

It is not a weakly prime, because it can be changed into another prime (214364903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107182496 + 107182497.

It is an arithmetic number, because the mean of its divisors is an integer number (107182497).

Almost surely, 2214364993 is an apocalyptic number.

It is an amenable number.

214364993 is a deficient number, since it is larger than the sum of its proper divisors (1).

214364993 is an equidigital number, since it uses as much as digits as its factorization.

214364993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 139968, while the sum is 41.

The square root of 214364993 is about 14641.2087274241. The cubic root of 214364993 is about 598.4822686862.

The spelling of 214364993 in words is "two hundred fourteen million, three hundred sixty-four thousand, nine hundred ninety-three".