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2189226 = 2313217127
BaseRepresentation
bin1000010110011110101010
311010020001110
420112132222
51030023401
6114531150
724415404
oct10263652
94106043
102189226
111265886
12896ab6
135b8600
1440db74
152d39d6
hex2167aa

2189226 has 48 divisors (see below), whose sum is σ = 5059584. Its totient is φ = 628992.

The previous prime is 2189221. The next prime is 2189227. The reversal of 2189226 is 6229812.

2189226 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 25 + 1 + 8 + 95 + 215 + 221 + 63 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2189193 and 2189202.

It is not an unprimeable number, because it can be changed into a prime (2189221) 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 23 ways as a sum of consecutive naturals, for example, 17175 + ... + 17301.

It is an arithmetic number, because the mean of its divisors is an integer number (105408).

22189226 is an apocalyptic number.

2189226 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2189226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529792).

2189226 is an abundant number, since it is smaller than the sum of its proper divisors (2870358).

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

2189226 is a wasteful number, since it uses less digits than its factorization.

2189226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 162 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 2189226 is about 1479.6033252193. The cubic root of 2189226 is about 129.8464854556.

It can be divided in two parts, 2189 and 226, that added together give a triangular number (2415 = T69).

The spelling of 2189226 in words is "two million, one hundred eighty-nine thousand, two hundred twenty-six".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 127 169 221 254 338 381 442 507 663 762 1014 1326 1651 2159 2873 3302 4318 4953 5746 6477 8619 9906 12954 17238 21463 28067 42926 56134 64389 84201 128778 168402 364871 729742 1094613 2189226