Search a number
-
+
214748353 is a prime number
BaseRepresentation
bin11001100110011…
…00110011000001
3112222002100100201
430303030303001
5414433421403
633150445201
75215221331
oct1463146301
9488070321
10214748353
11100246686
125bb03801
133564c241
14207410c1
1513cbe21d
hexcccccc1

214748353 has 2 divisors, whose sum is σ = 214748354. Its totient is φ = 214748352.

The previous prime is 214748341. The next prime is 214748357. The reversal of 214748353 is 353847412.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 142277184 + 72471169 = 11928^2 + 8513^2 .

It is a cyclic number.

It is not a de Polignac number, because 214748353 - 213 = 214740161 is a prime.

It is a super-2 number, since 2×2147483532 = 92233710232425218, which contains 22 as substring.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (214748357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107374176 + 107374177.

It is an arithmetic number, because the mean of its divisors is an integer number (107374177).

Almost surely, 2214748353 is an apocalyptic number.

It is an amenable number.

214748353 is a deficient number, since it is larger than the sum of its proper divisors (1).

214748353 is an equidigital number, since it uses as much as digits as its factorization.

214748353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 80640, while the sum is 37.

The square root of 214748353 is about 14654.2946947303. The cubic root of 214748353 is about 598.8388218177.

The spelling of 214748353 in words is "two hundred fourteen million, seven hundred forty-eight thousand, three hundred fifty-three".