Search a number
-
+
302223041 is a prime number
BaseRepresentation
bin10010000000111…
…000111011000001
3210001200112001222
4102000320323001
51104332114131
645553404425
710326565511
oct2200707301
9701615058
10302223041
1114566270a
1285269715
134a7c8903
142c1d1841
151b7ec87b
hex12038ec1

302223041 has 2 divisors, whose sum is σ = 302223042. Its totient is φ = 302223040.

The previous prime is 302223011. The next prime is 302223071. The reversal of 302223041 is 140322203.

It is a balanced prime because it is at equal distance from previous prime (302223011) and next prime (302223071).

It can be written as a sum of positive squares in only one way, i.e., 288864016 + 13359025 = 16996^2 + 3655^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-302223041 is a prime.

It is a super-2 number, since 2×3022230412 = 182677533022575362, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (302223001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 151111520 + 151111521.

It is an arithmetic number, because the mean of its divisors is an integer number (151111521).

Almost surely, 2302223041 is an apocalyptic number.

It is an amenable number.

302223041 is a deficient number, since it is larger than the sum of its proper divisors (1).

302223041 is an equidigital number, since it uses as much as digits as its factorization.

302223041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 302223041 is about 17384.5632962120. The cubic root of 302223041 is about 671.0824124025.

Adding to 302223041 its reverse (140322203), we get a palindrome (442545244).

The spelling of 302223041 in words is "three hundred two million, two hundred twenty-three thousand, forty-one".