Search a number
-
+
224303442401 is a prime number
BaseRepresentation
bin1101000011100110000…
…1101110100111100001
3210102222002111110220202
43100321201232213201
512133333140124101
6251013225114545
722130306542133
oct3207141564741
9712862443822
10224303442401
118714349a195
123757a928a55
13181c845011c
14abdbb49053
155c7be0436b
hex343986e9e1

224303442401 has 2 divisors, whose sum is σ = 224303442402. Its totient is φ = 224303442400.

The previous prime is 224303442383. The next prime is 224303442413. The reversal of 224303442401 is 104244303422.

224303442401 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., 214753462225 + 9549980176 = 463415^2 + 97724^2 .

It is a cyclic number.

It is not a de Polignac number, because 224303442401 - 222 = 224299248097 is a prime.

It is not a weakly prime, because it can be changed into another prime (224303442001) 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, 112151721200 + 112151721201.

It is an arithmetic number, because the mean of its divisors is an integer number (112151721201).

Almost surely, 2224303442401 is an apocalyptic number.

It is an amenable number.

224303442401 is a deficient number, since it is larger than the sum of its proper divisors (1).

224303442401 is an equidigital number, since it uses as much as digits as its factorization.

224303442401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 224303442401 its reverse (104244303422), we get a palindrome (328547745823).

The spelling of 224303442401 in words is "two hundred twenty-four billion, three hundred three million, four hundred forty-two thousand, four hundred one".