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242301461 is a prime number
BaseRepresentation
bin11100111000100…
…11101000010101
3121212221012010012
432130103220111
5444012121321
640013210005
76001346153
oct1634235025
9555835105
10242301461
11114855746
1269190905
133b27855c
14242743d3
151641305b
hexe713a15

242301461 has 2 divisors, whose sum is σ = 242301462. Its totient is φ = 242301460.

The previous prime is 242301427. The next prime is 242301463. The reversal of 242301461 is 164103242.

242301461 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., 146555236 + 95746225 = 12106^2 + 9785^2 .

It is a cyclic number.

It is not a de Polignac number, because 242301461 - 214 = 242285077 is a prime.

Together with 242301463, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (242301463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121150730 + 121150731.

It is an arithmetic number, because the mean of its divisors is an integer number (121150731).

Almost surely, 2242301461 is an apocalyptic number.

It is an amenable number.

242301461 is a deficient number, since it is larger than the sum of its proper divisors (1).

242301461 is an equidigital number, since it uses as much as digits as its factorization.

242301461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 242301461 is about 15566.0354939850. The cubic root of 242301461 is about 623.4266225504.

The spelling of 242301461 in words is "two hundred forty-two million, three hundred one thousand, four hundred sixty-one".