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224040042241 is a prime number
BaseRepresentation
bin1101000010100111010…
…0111011111100000001
3210102021201212100211021
43100221310323330001
512132313222322431
6250531135345441
722120630636501
oct3205164737401
9712251770737
10224040042241
1187018843804
1237506682281
13181859c8342
14abb4b81a01
155c63c24b11
hex3429d3bf01

224040042241 has 2 divisors, whose sum is σ = 224040042242. Its totient is φ = 224040042240.

The previous prime is 224040042227. The next prime is 224040042257. The reversal of 224040042241 is 142240040422.

224040042241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 176992697025 + 47047345216 = 420705^2 + 216904^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-224040042241 is a prime.

It is not a weakly prime, because it can be changed into another prime (224040072241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112020021120 + 112020021121.

It is an arithmetic number, because the mean of its divisors is an integer number (112020021121).

Almost surely, 2224040042241 is an apocalyptic number.

It is an amenable number.

224040042241 is a deficient number, since it is larger than the sum of its proper divisors (1).

224040042241 is an equidigital number, since it uses as much as digits as its factorization.

224040042241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 224040042241 its reverse (142240040422), we get a palindrome (366280082663).

The spelling of 224040042241 in words is "two hundred twenty-four billion, forty million, forty-two thousand, two hundred forty-one".