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224209 is a prime number
BaseRepresentation
bin110110101111010001
3102101120001
4312233101
524133314
64450001
71622446
oct665721
9371501
10224209
111434a7
12a9901
137b08b
145b9cd
1546674
hex36bd1

224209 has 2 divisors, whose sum is σ = 224210. Its totient is φ = 224208.

The previous prime is 224201. The next prime is 224221. The reversal of 224209 is 902422.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 172225 + 51984 = 415^2 + 228^2 .

It is a cyclic number.

It is not a de Polignac number, because 224209 - 23 = 224201 is a prime.

It is not a weakly prime, because it can be changed into another prime (224201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112104 + 112105.

It is an arithmetic number, because the mean of its divisors is an integer number (112105).

2224209 is an apocalyptic number.

It is an amenable number.

224209 is a deficient number, since it is larger than the sum of its proper divisors (1).

224209 is an equidigital number, since it uses as much as digits as its factorization.

224209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 224209 is about 473.5071277183. The cubic root of 224209 is about 60.7506618725.

The spelling of 224209 in words is "two hundred twenty-four thousand, two hundred nine".