Search a number
-
+
412226249 is a prime number
BaseRepresentation
bin11000100100100…
…001001011001001
31001201200021002212
4120210201023021
51321012214444
6104523234505
713133602541
oct3044411311
91051607085
10412226249
111a1766756
12b6078a35
1367532576
143ca68321
15262cb19e
hex189212c9

412226249 has 2 divisors, whose sum is σ = 412226250. Its totient is φ = 412226248.

The previous prime is 412226239. The next prime is 412226257. The reversal of 412226249 is 942622214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207936400 + 204289849 = 14420^2 + 14293^2 .

It is a cyclic number.

It is not a de Polignac number, because 412226249 - 228 = 143790793 is a prime.

It is a super-2 number, since 2×4122262492 = 339860960729220002, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (412226219) 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, 206113124 + 206113125.

It is an arithmetic number, because the mean of its divisors is an integer number (206113125).

Almost surely, 2412226249 is an apocalyptic number.

It is an amenable number.

412226249 is a deficient number, since it is larger than the sum of its proper divisors (1).

412226249 is an equidigital number, since it uses as much as digits as its factorization.

412226249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13824, while the sum is 32.

The square root of 412226249 is about 20303.3556093568. The cubic root of 412226249 is about 744.2380685173.

The spelling of 412226249 in words is "four hundred twelve million, two hundred twenty-six thousand, two hundred forty-nine".