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221458241 is a prime number
BaseRepresentation
bin11010011001100…
…10111101000001
3120102201020121002
431030302331001
5423143130431
633550341345
75326235564
oct1514627501
9512636532
10221458241
11104009944
12621ba855
1336b5b3a4
14215aa4db
15146973cb
hexd332f41

221458241 has 2 divisors, whose sum is σ = 221458242. Its totient is φ = 221458240.

The previous prime is 221458229. The next prime is 221458247. The reversal of 221458241 is 142854122.

221458241 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., 209236225 + 12222016 = 14465^2 + 3496^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221458241 is a prime.

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 (221458247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110729120 + 110729121.

It is an arithmetic number, because the mean of its divisors is an integer number (110729121).

Almost surely, 2221458241 is an apocalyptic number.

It is an amenable number.

221458241 is a deficient number, since it is larger than the sum of its proper divisors (1).

221458241 is an equidigital number, since it uses as much as digits as its factorization.

221458241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5120, while the sum is 29.

The square root of 221458241 is about 14881.4730789663. The cubic root of 221458241 is about 605.0119443035.

The spelling of 221458241 in words is "two hundred twenty-one million, four hundred fifty-eight thousand, two hundred forty-one".