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223361 is a prime number
BaseRepresentation
bin110110100010000001
3102100101122
4312202001
524121421
64442025
71620125
oct664201
9370348
10223361
111428a6
12a9315
137a888
145b585
15462ab
hex36881

223361 has 2 divisors, whose sum is σ = 223362. Its totient is φ = 223360.

The previous prime is 223339. The next prime is 223367. The reversal of 223361 is 163322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 144400 + 78961 = 380^2 + 281^2 .

It is a cyclic number.

It is not a de Polignac number, because 223361 - 210 = 222337 is a prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (223367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111680 + 111681.

It is an arithmetic number, because the mean of its divisors is an integer number (111681).

2223361 is an apocalyptic number.

It is an amenable number.

223361 is a deficient number, since it is larger than the sum of its proper divisors (1).

223361 is an equidigital number, since it uses as much as digits as its factorization.

223361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 17.

The square root of 223361 is about 472.6108335618. The cubic root of 223361 is about 60.6739750215.

Adding to 223361 its reverse (163322), we get a palindrome (386683).

The spelling of 223361 in words is "two hundred twenty-three thousand, three hundred sixty-one".