Search a number
-
+
242788333 is a prime number
BaseRepresentation
bin11100111100010…
…10011111101101
3121220211220222111
432132022133231
5444123211313
640031444021
76005444464
oct1636123755
9556756874
10242788333
11115058517
1269386611
133b3b9048
142435d9db
15164ac43d
hexe78a7ed

242788333 has 2 divisors, whose sum is σ = 242788334. Its totient is φ = 242788332.

The previous prime is 242788331. The next prime is 242788379. The reversal of 242788333 is 333887242.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210047049 + 32741284 = 14493^2 + 5722^2 .

It is a cyclic number.

It is not a de Polignac number, because 242788333 - 21 = 242788331 is a prime.

It is a super-3 number, since 3×2427883333 (a number of 26 digits) contains 333 as substring.

Together with 242788331, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (242788331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121394166 + 121394167.

It is an arithmetic number, because the mean of its divisors is an integer number (121394167).

Almost surely, 2242788333 is an apocalyptic number.

It is an amenable number.

242788333 is a deficient number, since it is larger than the sum of its proper divisors (1).

242788333 is an equidigital number, since it uses as much as digits as its factorization.

242788333 is an evil number, because the sum of its binary digits is even.

The product of its digits is 193536, while the sum is 40.

The square root of 242788333 is about 15581.6665668342. Note that the first 3 decimals coincide. The cubic root of 242788333 is about 623.8439069969.

The spelling of 242788333 in words is "two hundred forty-two million, seven hundred eighty-eight thousand, three hundred thirty-three".