Search a number
-
+
2218668 = 2231937263
BaseRepresentation
bin1000011101101010101100
311011201102220
420131222230
51031444133
6115315340
724600264
oct10355254
94151386
102218668
111285a11
128abb50
135c8b2a
1441a7a4
152dc5b3
hex21daac

2218668 has 48 divisors (see below), whose sum is σ = 5617920. Its totient is φ = 679104.

The previous prime is 2218663. The next prime is 2218669. The reversal of 2218668 is 8668122.

2218668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2218663) 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 15 ways as a sum of consecutive naturals, for example, 8305 + ... + 8567.

It is an arithmetic number, because the mean of its divisors is an integer number (117040).

22218668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2218668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808960).

2218668 is an abundant number, since it is smaller than the sum of its proper divisors (3399252).

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

2218668 is a wasteful number, since it uses less digits than its factorization.

2218668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 324 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 2218668 is about 1489.5193855737. The cubic root of 2218668 is about 130.4259793672.

The spelling of 2218668 in words is "two million, two hundred eighteen thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 222 228 263 444 526 703 789 1052 1406 1578 2109 2812 3156 4218 4997 8436 9731 9994 14991 19462 19988 29193 29982 38924 58386 59964 116772 184889 369778 554667 739556 1109334 2218668