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224314001 is a prime number
BaseRepresentation
bin11010101111011…
…00001010010001
3120122002022221222
431113230022101
5424411022001
634131454425
75362431452
oct1527541221
9518068858
10224314001
1110568a47a
1263157415
133761b1a2
1421b11129
1514a5d61b
hexd5ec291

224314001 has 2 divisors, whose sum is σ = 224314002. Its totient is φ = 224314000.

The previous prime is 224313983. The next prime is 224314003. The reversal of 224314001 is 100413422.

224314001 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., 127803025 + 96510976 = 11305^2 + 9824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-224314001 is a prime.

Together with 224314003, 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 (224314003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112157000 + 112157001.

It is an arithmetic number, because the mean of its divisors is an integer number (112157001).

Almost surely, 2224314001 is an apocalyptic number.

It is an amenable number.

224314001 is a deficient number, since it is larger than the sum of its proper divisors (1).

224314001 is an equidigital number, since it uses as much as digits as its factorization.

224314001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 224314001 is about 14977.1159106151. The cubic root of 224314001 is about 607.6014392527.

Adding to 224314001 its reverse (100413422), we get a palindrome (324727423).

The spelling of 224314001 in words is "two hundred twenty-four million, three hundred fourteen thousand, one".