Search a number
-
+
219038381 is a prime number
BaseRepresentation
bin11010000111001…
…00001010101101
3120021011022011122
431003210022231
5422033212011
633422430325
75266536602
oct1503441255
9507138148
10219038381
11102706861
12614323a5
13364c1b13
142113a6a9
151436a3db
hexd0e42ad

219038381 has 2 divisors, whose sum is σ = 219038382. Its totient is φ = 219038380.

The previous prime is 219038341. The next prime is 219038383. The reversal of 219038381 is 183830912.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 218152900 + 885481 = 14770^2 + 941^2 .

It is a cyclic number.

It is not a de Polignac number, because 219038381 - 218 = 218776237 is a prime.

It is a super-2 number, since 2×2190383812 = 95955624702202322, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 219038383, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (219038383) 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, 109519190 + 109519191.

It is an arithmetic number, because the mean of its divisors is an integer number (109519191).

Almost surely, 2219038381 is an apocalyptic number.

It is an amenable number.

219038381 is a deficient number, since it is larger than the sum of its proper divisors (1).

219038381 is an equidigital number, since it uses as much as digits as its factorization.

219038381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 219038381 is about 14799.9453039530. The cubic root of 219038381 is about 602.8002266279.

The spelling of 219038381 in words is "two hundred nineteen million, thirty-eight thousand, three hundred eighty-one".