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224010313 is a prime number
BaseRepresentation
bin11010101101000…
…10000001001001
3120121111220101021
431112202001021
5424321312223
634121152441
75360025202
oct1526420111
9517456337
10224010313
111054a229a
126302b721
1337542ba7
1421a725a9
15149ed65d
hexd5a2049

224010313 has 2 divisors, whose sum is σ = 224010314. Its totient is φ = 224010312.

The previous prime is 224010307. The next prime is 224010329. The reversal of 224010313 is 313010422.

It is a happy number.

It is an a-pointer prime, because the next prime (224010329) can be obtained adding 224010313 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 163916809 + 60093504 = 12803^2 + 7752^2 .

It is a cyclic number.

It is not a de Polignac number, because 224010313 - 29 = 224009801 is a prime.

It is equal to p12331330 and since 224010313 and 12331330 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (224010013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112005156 + 112005157.

It is an arithmetic number, because the mean of its divisors is an integer number (112005157).

Almost surely, 2224010313 is an apocalyptic number.

It is an amenable number.

224010313 is a deficient number, since it is larger than the sum of its proper divisors (1).

224010313 is an equidigital number, since it uses as much as digits as its factorization.

224010313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 224010313 is about 14966.9740762787. The cubic root of 224010313 is about 607.3271145720.

Adding to 224010313 its reverse (313010422), we get a palindrome (537020735).

The spelling of 224010313 in words is "two hundred twenty-four million, ten thousand, three hundred thirteen".