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224624426441 is a prime number
BaseRepresentation
bin1101000100110010101…
…0001011110111001001
3210110210110111011020112
43101030222023313021
512140012323121231
6251105133004105
722141255056512
oct3211452136711
9713713434215
10224624426441
11872986a6258
123764a323635
1318249ab71cc
14ac2c621a09
155c9a1aa92b
hex344ca8bdc9

224624426441 has 2 divisors, whose sum is σ = 224624426442. Its totient is φ = 224624426440.

The previous prime is 224624426339. The next prime is 224624426459. The reversal of 224624426441 is 144624426422.

224624426441 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., 210157148041 + 14467278400 = 458429^2 + 120280^2 .

It is a cyclic number.

It is not a de Polignac number, because 224624426441 - 214 = 224624410057 is a prime.

It is a super-2 number, since 2×2246244264412 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (224624426461) 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, 112312213220 + 112312213221.

It is an arithmetic number, because the mean of its divisors is an integer number (112312213221).

Almost surely, 2224624426441 is an apocalyptic number.

It is an amenable number.

224624426441 is a deficient number, since it is larger than the sum of its proper divisors (1).

224624426441 is an equidigital number, since it uses as much as digits as its factorization.

224624426441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 589824, while the sum is 41.

The spelling of 224624426441 in words is "two hundred twenty-four billion, six hundred twenty-four million, four hundred twenty-six thousand, four hundred forty-one".