Search a number
-
+
2218326 = 2311192961
BaseRepresentation
bin1000011101100101010110
311011200222020
420131211112
51031441301
6115314010
724566265
oct10354526
94150866
102218326
111285730
128ab906
135c8926
1441a5dc
152dc436
hex21d956

2218326 has 64 divisors (see below), whose sum is σ = 5356800. Its totient is φ = 604800.

The previous prime is 2218319. The next prime is 2218331. The reversal of 2218326 is 6238122.

2218326 is nontrivially palindromic in base 5.

2218326 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2 + 214 + 1 + 86 + 313 + 216 + 67 .

It is a junction number, because it is equal to n+sod(n) for n = 2218296 and 2218305.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 36336 + ... + 36396.

It is an arithmetic number, because the mean of its divisors is an integer number (83700).

22218326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2218326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678400).

2218326 is an abundant number, since it is smaller than the sum of its proper divisors (3138474).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2218326 is a wasteful number, since it uses less digits than its factorization.

2218326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125.

The product of its digits is 1152, while the sum is 24.

The square root of 2218326 is about 1489.4045790181. The cubic root of 2218326 is about 130.4192774516.

The spelling of 2218326 in words is "two million, two hundred eighteen thousand, three hundred twenty-six".

Divisors: 1 2 3 6 11 19 22 29 33 38 57 58 61 66 87 114 122 174 183 209 319 366 418 551 627 638 671 957 1102 1159 1254 1342 1653 1769 1914 2013 2318 3306 3477 3538 4026 5307 6061 6954 10614 12122 12749 18183 19459 25498 33611 36366 38247 38918 58377 67222 76494 100833 116754 201666 369721 739442 1109163 2218326