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223808161 is a prime number
BaseRepresentation
bin11010101011100…
…00101010100001
3120121010122002011
431111300222201
5424243330121
634112552521
75355223633
oct1525605241
9517118064
10223808161
11105374425
1262b52741
13374a1b85
1421a1ca53
15149ad7e1
hexd570aa1

223808161 has 2 divisors, whose sum is σ = 223808162. Its totient is φ = 223808160.

The previous prime is 223808149. The next prime is 223808171. The reversal of 223808161 is 161808322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 223801600 + 6561 = 14960^2 + 81^2 .

It is a cyclic number.

It is not a de Polignac number, because 223808161 - 211 = 223806113 is a prime.

It is not a weakly prime, because it can be changed into another prime (223808131) 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, 111904080 + 111904081.

It is an arithmetic number, because the mean of its divisors is an integer number (111904081).

Almost surely, 2223808161 is an apocalyptic number.

It is an amenable number.

223808161 is a deficient number, since it is larger than the sum of its proper divisors (1).

223808161 is an equidigital number, since it uses as much as digits as its factorization.

223808161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 223808161 is about 14960.2192831522. The cubic root of 223808161 is about 607.1443709911.

The spelling of 223808161 in words is "two hundred twenty-three million, eight hundred eight thousand, one hundred sixty-one".