Search a number
-
+
8220141 = 321953907
BaseRepresentation
bin11111010110110111101101
3120110121220200
4133112313231
54101021031
6452104113
7126604266
oct37266755
916417820
108220141
114704a06
122905039
13191a6b7
14113d96d
15ac58e6
hex7d6ded

8220141 has 24 divisors (see below), whose sum is σ = 12748320. Its totient is φ = 5088096.

The previous prime is 8220139. The next prime is 8220143. The reversal of 8220141 is 1410228.

8220141 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8220139) and next prime (8220143).

It is not a de Polignac number, because 8220141 - 21 = 8220139 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8220143) 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 in 23 ways as a sum of consecutive naturals, for example, 8610 + ... + 9516.

It is an arithmetic number, because the mean of its divisors is an integer number (531180).

Almost surely, 28220141 is an apocalyptic number.

It is an amenable number.

8220141 is a deficient number, since it is larger than the sum of its proper divisors (4528179).

8220141 is a wasteful number, since it uses less digits than its factorization.

8220141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 8220141 is about 2867.0788269596. The cubic root of 8220141 is about 201.8179338488.

Adding to 8220141 its reverse (1410228), we get a palindrome (9630369).

The spelling of 8220141 in words is "eight million, two hundred twenty thousand, one hundred forty-one".

Divisors: 1 3 9 19 53 57 159 171 477 907 1007 2721 3021 8163 9063 17233 48071 51699 144213 155097 432639 913349 2740047 8220141