Search a number
-
+
10046221 is a prime number
BaseRepresentation
bin100110010100…
…101100001101
3200220101211021
4212110230031
510032434341
6555154141
7151251163
oct46245415
920811737
1010046221
115741969
123445951
132109913
141497233
15d369d1
hex994b0d

10046221 has 2 divisors, whose sum is σ = 10046222. Its totient is φ = 10046220.

The previous prime is 10046207. The next prime is 10046227. The reversal of 10046221 is 12264001.

10046221 is digitally balanced in base 3, 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., 9066121 + 980100 = 3011^2 + 990^2 .

It is a cyclic number.

It is not a de Polignac number, because 10046221 - 29 = 10045709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10046195 and 10046204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10046227) 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, 5023110 + 5023111.

It is an arithmetic number, because the mean of its divisors is an integer number (5023111).

Almost surely, 210046221 is an apocalyptic number.

It is an amenable number.

10046221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10046221 is an equidigital number, since it uses as much as digits as its factorization.

10046221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 10046221 is about 3169.5774166283. The cubic root of 10046221 is about 215.7748926547.

It can be divided in two parts, 1004 and 6221, that added together give a square (7225 = 852).

The spelling of 10046221 in words is "ten million, forty-six thousand, two hundred twenty-one".