Search a number
-
+
226616801 is a prime number
BaseRepresentation
bin11011000000111…
…10010111100001
3120210102022210212
431200132113201
5431003214201
634253103505
75421132245
oct1540362741
9523368725
10226616801
11106a12614
1263a87b95
1337c463a8
1422150425
1514d65abb
hexd81e5e1

226616801 has 2 divisors, whose sum is σ = 226616802. Its totient is φ = 226616800.

The previous prime is 226616779. The next prime is 226616821. The reversal of 226616801 is 108616622.

226616801 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., 226472401 + 144400 = 15049^2 + 380^2 .

It is a cyclic number.

It is not a de Polignac number, because 226616801 - 226 = 159507937 is a prime.

It is a Chen prime.

It is equal to p12466814 and since 226616801 and 12466814 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 (226616821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113308400 + 113308401.

It is an arithmetic number, because the mean of its divisors is an integer number (113308401).

Almost surely, 2226616801 is an apocalyptic number.

It is an amenable number.

226616801 is a deficient number, since it is larger than the sum of its proper divisors (1).

226616801 is an equidigital number, since it uses as much as digits as its factorization.

226616801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 226616801 is about 15053.7968964644. The cubic root of 226616801 is about 609.6735698613.

The spelling of 226616801 in words is "two hundred twenty-six million, six hundred sixteen thousand, eight hundred one".