Search a number
-
+
214102349 is a prime number
BaseRepresentation
bin11001100001011…
…11000101001101
3112220212112012122
430300233011031
5414302233344
633124542325
75206561046
oct1460570515
9486775178
10214102349
11aa94529a
125b8519a5
13354841a6
14206138cd
1513be2aee
hexcc2f14d

214102349 has 2 divisors, whose sum is σ = 214102350. Its totient is φ = 214102348.

The previous prime is 214102307. The next prime is 214102391. The reversal of 214102349 is 943201412.

214102349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (214102307) and next prime (214102391).

It can be written as a sum of positive squares in only one way, i.e., 196504324 + 17598025 = 14018^2 + 4195^2 .

It is a cyclic number.

It is not a de Polignac number, because 214102349 - 224 = 197325133 is a prime.

It is a Chen prime.

It is equal to p11815343 and since 214102349 and 11815343 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 (214102549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107051174 + 107051175.

It is an arithmetic number, because the mean of its divisors is an integer number (107051175).

Almost surely, 2214102349 is an apocalyptic number.

It is an amenable number.

214102349 is a deficient number, since it is larger than the sum of its proper divisors (1).

214102349 is an equidigital number, since it uses as much as digits as its factorization.

214102349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 214102349 is about 14632.2366369602. The cubic root of 214102349 is about 598.2377449031.

The spelling of 214102349 in words is "two hundred fourteen million, one hundred two thousand, three hundred forty-nine".