Search a number
-
+
226162801 is a prime number
BaseRepresentation
bin11010111101011…
…11100001110001
3120202120021001001
431132233201301
5430344202201
634235242001
75414231524
oct1536574161
9522507031
10226162801
11106732507
12638a9301
1337b17857
1422072bbb
1514cc6301
hexd7af871

226162801 has 2 divisors, whose sum is σ = 226162802. Its totient is φ = 226162800.

The previous prime is 226162789. The next prime is 226162813. The reversal of 226162801 is 108261622.

It is a balanced prime because it is at equal distance from previous prime (226162789) and next prime (226162813).

It can be written as a sum of positive squares in only one way, i.e., 225720576 + 442225 = 15024^2 + 665^2 .

It is a cyclic number.

It is not a de Polignac number, because 226162801 - 221 = 224065649 is a prime.

It is a super-2 number, since 2×2261628012 = 102299225112331202, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 226162801.

It is not a weakly prime, because it can be changed into another prime (226162831) 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, 113081400 + 113081401.

It is an arithmetic number, because the mean of its divisors is an integer number (113081401).

Almost surely, 2226162801 is an apocalyptic number.

It is an amenable number.

226162801 is a deficient number, since it is larger than the sum of its proper divisors (1).

226162801 is an equidigital number, since it uses as much as digits as its factorization.

226162801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 226162801 is about 15038.7100843124. The cubic root of 226162801 is about 609.2661613411.

The spelling of 226162801 in words is "two hundred twenty-six million, one hundred sixty-two thousand, eight hundred one".