Search a number
-
+
242824721 is a prime number
BaseRepresentation
bin11100111100100…
…11011000010001
3121220220202220012
432132103120101
5444130342341
640032324305
76005655536
oct1636233021
9556822805
10242824721
11115082897
12693a3695
133b3cc789
142436cd8d
15164b80eb
hexe793611

242824721 has 2 divisors, whose sum is σ = 242824722. Its totient is φ = 242824720.

The previous prime is 242824709. The next prime is 242824723. The reversal of 242824721 is 127428242.

242824721 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 235960321 + 6864400 = 15361^2 + 2620^2 .

It is a cyclic number.

It is not a de Polignac number, because 242824721 - 26 = 242824657 is a prime.

Together with 242824723, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (242824723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121412360 + 121412361.

It is an arithmetic number, because the mean of its divisors is an integer number (121412361).

Almost surely, 2242824721 is an apocalyptic number.

It is an amenable number.

242824721 is a deficient number, since it is larger than the sum of its proper divisors (1).

242824721 is an equidigital number, since it uses as much as digits as its factorization.

242824721 is an evil number, because the sum of its binary digits is even.

The product of its digits is 14336, while the sum is 32.

The square root of 242824721 is about 15582.8341773889. The cubic root of 242824721 is about 623.8750717263.

The spelling of 242824721 in words is "two hundred forty-two million, eight hundred twenty-four thousand, seven hundred twenty-one".