Search a number
-
+
2822841 = 327237173
BaseRepresentation
bin1010110001001010111001
312022102012200
422301022321
51210312331
6140300413
732664600
oct12611271
95272180
102822841
11165892a
12b41709
1377ab28
14536a37
153ab5e6
hex2b12b9

2822841 has 36 divisors (see below), whose sum is σ = 4899492. Its totient is φ = 1560384.

The previous prime is 2822819. The next prime is 2822851. The reversal of 2822841 is 1482282.

2822841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2547216 + 275625 = 1596^2 + 525^2 .

It is not a de Polignac number, because 2822841 - 27 = 2822713 is a prime.

It is a super-2 number, since 2×28228412 = 15936862622562, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2822851) 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 in 35 ways as a sum of consecutive naturals, for example, 16231 + ... + 16403.

It is an arithmetic number, because the mean of its divisors is an integer number (136097).

22822841 is an apocalyptic number.

2822841 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2822841 is a deficient number, since it is larger than the sum of its proper divisors (2076651).

2822841 is a wasteful number, since it uses less digits than its factorization.

2822841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 220 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 2822841 is about 1680.1312448734. The cubic root of 2822841 is about 141.3281927989.

It can be divided in two parts, 2822 and 841, that added together give a palindrome (3663).

The spelling of 2822841 in words is "two million, eight hundred twenty-two thousand, eight hundred forty-one".

Divisors: 1 3 7 9 21 37 49 63 111 147 173 259 333 441 519 777 1211 1557 1813 2331 3633 5439 6401 8477 10899 16317 19203 25431 44807 57609 76293 134421 313649 403263 940947 2822841