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820223 is a prime number
BaseRepresentation
bin11001000001111111111
31112200010122
43020033333
5202221343
625325155
76654215
oct3101777
91480118
10820223
11510278
123367bb
13229451
14174cb5
15113068
hexc83ff

820223 has 2 divisors, whose sum is σ = 820224. Its totient is φ = 820222.

The previous prime is 820213. The next prime is 820231. The reversal of 820223 is 322028.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-820223 is a prime.

It is a Sophie Germain prime.

It is a plaindrome in base 12.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410111 + 410112.

It is an arithmetic number, because the mean of its divisors is an integer number (410112).

2820223 is an apocalyptic number.

820223 is a deficient number, since it is larger than the sum of its proper divisors (1).

820223 is an equidigital number, since it uses as much as digits as its factorization.

820223 is an odious number, because the sum of its binary digits is odd.

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

The square root of 820223 is about 905.6616365950. The cubic root of 820223 is about 93.6075002512.

The spelling of 820223 in words is "eight hundred twenty thousand, two hundred twenty-three".