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224001329 is a prime number
BaseRepresentation
bin11010101100111…
…11110100110001
3120121111110001112
431112133310301
5424321020304
634121043105
75356660046
oct1526376461
9517443045
10224001329
11105496572
1263026495
133753ba86
1421a6d1cd
15149eab6e
hexd59fd31

224001329 has 2 divisors, whose sum is σ = 224001330. Its totient is φ = 224001328.

The previous prime is 224001311. The next prime is 224001331. The reversal of 224001329 is 923100422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 180176929 + 43824400 = 13423^2 + 6620^2 .

It is a cyclic number.

It is not a de Polignac number, because 224001329 - 28 = 224001073 is a prime.

Together with 224001331, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (224001929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112000664 + 112000665.

It is an arithmetic number, because the mean of its divisors is an integer number (112000665).

Almost surely, 2224001329 is an apocalyptic number.

It is an amenable number.

224001329 is a deficient number, since it is larger than the sum of its proper divisors (1).

224001329 is an equidigital number, since it uses as much as digits as its factorization.

224001329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 224001329 is about 14966.6739458037. The cubic root of 224001329 is about 607.3189954521.

The spelling of 224001329 in words is "two hundred twenty-four million, one thousand, three hundred twenty-nine".