Search a number
-
+
208224509 is a prime number
BaseRepresentation
bin11000110100101…
…00000011111101
3112111210220022212
430122110003331
5411301141014
632354550205
75105610353
oct1432240375
9474726285
10208224509
11a75a0179
1259898365
13341a698c
141d9237d3
151343123e
hexc6940fd

208224509 has 2 divisors, whose sum is σ = 208224510. Its totient is φ = 208224508.

The previous prime is 208224503. The next prime is 208224521. The reversal of 208224509 is 905422802.

208224509 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129458884 + 78765625 = 11378^2 + 8875^2 .

It is a cyclic number.

It is not a de Polignac number, because 208224509 - 212 = 208220413 is a prime.

It is a super-2 number, since 2×2082245092 = 86714892296582162, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (208224503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104112254 + 104112255.

It is an arithmetic number, because the mean of its divisors is an integer number (104112255).

Almost surely, 2208224509 is an apocalyptic number.

It is an amenable number.

208224509 is a deficient number, since it is larger than the sum of its proper divisors (1).

208224509 is an equidigital number, since it uses as much as digits as its factorization.

208224509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 208224509 is about 14429.9864518301. The cubic root of 208224509 is about 592.7123123591.

The spelling of 208224509 in words is "two hundred eight million, two hundred twenty-four thousand, five hundred nine".