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220013 is a prime number
BaseRepresentation
bin110101101101101101
3102011210122
4311231231
524020023
64414325
71604303
oct655555
9364718
10220013
11140332
12a73a5
13791b1
145a273
15452c8
hex35b6d

220013 has 2 divisors, whose sum is σ = 220014. Its totient is φ = 220012.

The previous prime is 220009. The next prime is 220019. The reversal of 220013 is 310022.

Adding to 220013 its reverse (310022), we get a palindrome (530035).

Subtracting 220013 from its reverse (310022), we obtain a palindrome (90009).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 195364 + 24649 = 442^2 + 157^2 .

It is a cyclic number.

It is not a de Polignac number, because 220013 - 22 = 220009 is a prime.

It is a nialpdrome in base 8.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110006 + 110007.

It is an arithmetic number, because the mean of its divisors is an integer number (110007).

2220013 is an apocalyptic number.

It is an amenable number.

220013 is a deficient number, since it is larger than the sum of its proper divisors (1).

220013 is an equidigital number, since it uses as much as digits as its factorization.

220013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 220013 is about 469.0554338242. The cubic root of 220013 is about 60.3692964133.

The spelling of 220013 in words is "two hundred twenty thousand, thirteen".