Search a number
-
+
2206456 = 23731241
BaseRepresentation
bin1000011010101011111000
311011002200121
420122223320
51031101311
6115143024
724516550
oct10325370
94132617
102206456
11127781a
128a4a74
135c33c5
14416160
152d8b71
hex21aaf8

2206456 has 48 divisors (see below), whose sum is σ = 5004720. Its totient is φ = 892800.

The previous prime is 2206453. The next prime is 2206469. The reversal of 2206456 is 6546022.

2206456 is nontrivially palindromic in base 13.

2206456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2206456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2206453) 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 11 ways as a sum of consecutive naturals, for example, 53796 + ... + 53836.

It is an arithmetic number, because the mean of its divisors is an integer number (104265).

22206456 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 2206456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502360).

2206456 is an abundant number, since it is smaller than the sum of its proper divisors (2798264).

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

2206456 is a wasteful number, since it uses less digits than its factorization.

2206456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2206456 is about 1485.4144202882. The cubic root of 2206456 is about 130.1862419325.

It can be divided in two parts, 2206 and 456, that added together give a palindrome (2662).

The spelling of 2206456 in words is "two million, two hundred six thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 31 41 56 62 82 124 164 217 248 287 328 434 574 868 961 1148 1271 1736 1922 2296 2542 3844 5084 6727 7688 8897 10168 13454 17794 26908 35588 39401 53816 71176 78802 157604 275807 315208 551614 1103228 2206456