Search a number
-
+
224329249 is a prime number
BaseRepresentation
bin11010101111011…
…11111000100001
3120122010002212201
431113233320201
5424412013444
634132053201
75362524064
oct1527577041
9518102781
10224329249
1110569a981
1263164201
1337625101
1421b168db
1514a62dd4
hexd5efe21

224329249 has 2 divisors, whose sum is σ = 224329250. Its totient is φ = 224329248.

The previous prime is 224329241. The next prime is 224329267. The reversal of 224329249 is 942923422.

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., 191324224 + 33005025 = 13832^2 + 5745^2 .

It is a cyclic number.

It is not a de Polignac number, because 224329249 - 23 = 224329241 is a prime.

It is a super-2 number, since 2×2243292492 = 100647223913808002, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (224329241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112164624 + 112164625.

It is an arithmetic number, because the mean of its divisors is an integer number (112164625).

Almost surely, 2224329249 is an apocalyptic number.

It is an amenable number.

224329249 is a deficient number, since it is larger than the sum of its proper divisors (1).

224329249 is an equidigital number, since it uses as much as digits as its factorization.

224329249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 62208, while the sum is 37.

The square root of 224329249 is about 14977.6249452308. The cubic root of 224329249 is about 607.6152064076.

The spelling of 224329249 in words is "two hundred twenty-four million, three hundred twenty-nine thousand, two hundred forty-nine".