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223857013 is a prime number
BaseRepresentation
bin11010101011111…
…00100101110101
3120121020010002111
431111330211311
5424301411023
634114011021
75355516232
oct1525744565
9517203074
10223857013
111053a80a6
1262b76a71
13374bb193
1421a32789
15149bd00d
hexd57c975

223857013 has 2 divisors, whose sum is σ = 223857014. Its totient is φ = 223857012.

The previous prime is 223856957. The next prime is 223857043. The reversal of 223857013 is 310758322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 223113969 + 743044 = 14937^2 + 862^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223857013 is a prime.

It is a super-2 number, since 2×2238570132 = 100223924538564338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223857043) 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, 111928506 + 111928507.

It is an arithmetic number, because the mean of its divisors is an integer number (111928507).

Almost surely, 2223857013 is an apocalyptic number.

It is an amenable number.

223857013 is a deficient number, since it is larger than the sum of its proper divisors (1).

223857013 is an equidigital number, since it uses as much as digits as its factorization.

223857013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 223857013 is about 14961.8519241436. The cubic root of 223857013 is about 607.1885428374.

The spelling of 223857013 in words is "two hundred twenty-three million, eight hundred fifty-seven thousand, thirteen".