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256197241 is a prime number
BaseRepresentation
bin11110100010101…
…00001001111001
3122212002011112201
433101110021321
51011041302431
641231110201
76230432506
oct1721241171
9585064481
10256197241
11121686863
1271972361
1341102401
14260504ad
151775a461
hexf454279

256197241 has 2 divisors, whose sum is σ = 256197242. Its totient is φ = 256197240.

The previous prime is 256197229. The next prime is 256197251. The reversal of 256197241 is 142791652.

256197241 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., 166023225 + 90174016 = 12885^2 + 9496^2 .

It is a cyclic number.

It is not a de Polignac number, because 256197241 - 219 = 255672953 is a prime.

It is a super-3 number, since 3×2561972413 (a number of 26 digits) contains 333 as substring.

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 256197241.

It is not a weakly prime, because it can be changed into another prime (256197211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128098620 + 128098621.

It is an arithmetic number, because the mean of its divisors is an integer number (128098621).

Almost surely, 2256197241 is an apocalyptic number.

It is an amenable number.

256197241 is a deficient number, since it is larger than the sum of its proper divisors (1).

256197241 is an equidigital number, since it uses as much as digits as its factorization.

256197241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 30240, while the sum is 37.

The square root of 256197241 is about 16006.1625944509. The cubic root of 256197241 is about 635.1234521381.

The spelling of 256197241 in words is "two hundred fifty-six million, one hundred ninety-seven thousand, two hundred forty-one".