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224309 is a prime number
BaseRepresentation
bin110110110000110101
3102101200202
4312300311
524134214
64450245
71622651
oct666065
9371622
10224309
11143588
12a9985
137b137
145ba61
15466de
hex36c35

224309 has 2 divisors, whose sum is σ = 224310. Its totient is φ = 224308.

The previous prime is 224303. The next prime is 224317. The reversal of 224309 is 903422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 178084 + 46225 = 422^2 + 215^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-224309 is a prime.

It is a Chen prime.

It is a plaindrome in base 15.

It is a nialpdrome in base 12.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (224303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112154 + 112155.

It is an arithmetic number, because the mean of its divisors is an integer number (112155).

2224309 is an apocalyptic number.

It is an amenable number.

224309 is a deficient number, since it is larger than the sum of its proper divisors (1).

224309 is an equidigital number, since it uses as much as digits as its factorization.

224309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 224309 is about 473.6127109781. The cubic root of 224309 is about 60.7596923801.

The spelling of 224309 in words is "two hundred twenty-four thousand, three hundred nine".