Search a number
-
+
229524193 is a prime number
BaseRepresentation
bin11011010111001…
…00001011100001
3120222220001000001
431223210023201
5432224233233
634435300001
75454631513
oct1553441341
9528801001
10229524193
11108618a18
1264a4a601
1338723842
14226a9bb3
151523c27d
hexdae42e1

229524193 has 2 divisors, whose sum is σ = 229524194. Its totient is φ = 229524192.

The previous prime is 229524143. The next prime is 229524223. The reversal of 229524193 is 391425922.

229524193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 224011089 + 5513104 = 14967^2 + 2348^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-229524193 is a prime.

It is equal to p12617767 and since 229524193 and 12617767 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (229524103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 114762096 + 114762097.

It is an arithmetic number, because the mean of its divisors is an integer number (114762097).

Almost surely, 2229524193 is an apocalyptic number.

It is an amenable number.

229524193 is a deficient number, since it is larger than the sum of its proper divisors (1).

229524193 is an equidigital number, since it uses as much as digits as its factorization.

229524193 is an evil number, because the sum of its binary digits is even.

The product of its digits is 38880, while the sum is 37.

The square root of 229524193 is about 15150.0558744844. The cubic root of 229524193 is about 612.2697781443.

The spelling of 229524193 in words is "two hundred twenty-nine million, five hundred twenty-four thousand, one hundred ninety-three".