Search a number
-
+
242187233 is a prime number
BaseRepresentation
bin11100110111101…
…11101111100001
3121212201101102112
432123313233201
5443444442413
640010525105
76000362141
oct1633675741
9555641375
10242187233
11114787942
1269136795
133b238572
1424244921
15163de2a8
hexe6f7be1

242187233 has 2 divisors, whose sum is σ = 242187234. Its totient is φ = 242187232.

The previous prime is 242187227. The next prime is 242187251. The reversal of 242187233 is 332781242.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129572689 + 112614544 = 11383^2 + 10612^2 .

It is a cyclic number.

It is not a de Polignac number, because 242187233 - 214 = 242170849 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 242187233.

It is not a weakly prime, because it can be changed into another prime (242187293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121093616 + 121093617.

It is an arithmetic number, because the mean of its divisors is an integer number (121093617).

Almost surely, 2242187233 is an apocalyptic number.

It is an amenable number.

242187233 is a deficient number, since it is larger than the sum of its proper divisors (1).

242187233 is an equidigital number, since it uses as much as digits as its factorization.

242187233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16128, while the sum is 32.

The square root of 242187233 is about 15562.3659191011. The cubic root of 242187233 is about 623.3286399664.

The spelling of 242187233 in words is "two hundred forty-two million, one hundred eighty-seven thousand, two hundred thirty-three".