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242814401 is a prime number
BaseRepresentation
bin11100111100100…
…00110111000001
3121220220020201222
432132100313001
5444130030101
640032204425
76005613464
oct1636206701
9556806658
10242814401
11115076065
1269399715
133b3c7b7b
14243692db
15164b501b
hexe790dc1

242814401 has 2 divisors, whose sum is σ = 242814402. Its totient is φ = 242814400.

The previous prime is 242814367. The next prime is 242814431. The reversal of 242814401 is 104418242.

242814401 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., 174768400 + 68046001 = 13220^2 + 8249^2 .

It is a cyclic number.

It is not a de Polignac number, because 242814401 - 26 = 242814337 is a prime.

It is not a weakly prime, because it can be changed into another prime (242814431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121407200 + 121407201.

It is an arithmetic number, because the mean of its divisors is an integer number (121407201).

Almost surely, 2242814401 is an apocalyptic number.

It is an amenable number.

242814401 is a deficient number, since it is larger than the sum of its proper divisors (1).

242814401 is an equidigital number, since it uses as much as digits as its factorization.

242814401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 242814401 is about 15582.5030402692. The cubic root of 242814401 is about 623.8662334143.

It can be divided in two parts, 24281 and 4401, that added together give a palindrome (28682).

The spelling of 242814401 in words is "two hundred forty-two million, eight hundred fourteen thousand, four hundred one".