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223416013 is a prime number
BaseRepresentation
bin11010101000100…
…00111011001101
3120120101201011011
431110100323031
5424143303023
634100325221
75352001432
oct1524207315
9516351134
10223416013
11105126837
12629a3811
1337395532
1421959b89
151493250d
hexd510ecd

223416013 has 2 divisors, whose sum is σ = 223416014. Its totient is φ = 223416012.

The previous prime is 223416007. The next prime is 223416031. The reversal of 223416013 is 310614322.

223416013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (223416031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 203148009 + 20268004 = 14253^2 + 4502^2 .

It is a cyclic number.

It is not a de Polignac number, because 223416013 - 29 = 223415501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223416073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111708006 + 111708007.

It is an arithmetic number, because the mean of its divisors is an integer number (111708007).

Almost surely, 2223416013 is an apocalyptic number.

It is an amenable number.

223416013 is a deficient number, since it is larger than the sum of its proper divisors (1).

223416013 is an equidigital number, since it uses as much as digits as its factorization.

223416013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 223416013 is about 14947.1071783138. The cubic root of 223416013 is about 606.7895587226.

The spelling of 223416013 in words is "two hundred twenty-three million, four hundred sixteen thousand, thirteen".