Search a number
-
+
44226 = 235713
BaseRepresentation
bin1010110011000010
32020200000
422303002
52403401
6540430
7242640
oct126302
966600
1044226
1130256
1221716
1317190
1412190
15d186
hexacc2

44226 has 48 divisors (see below), whose sum is σ = 122304. Its totient is φ = 11664.

The previous prime is 44221. The next prime is 44249. The reversal of 44226 is 62244.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 44199 and 44208.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 44226.

It is not an unprimeable number, because it can be changed into a prime (44221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3396 + ... + 3408.

It is an arithmetic number, because the mean of its divisors is an integer number (2548).

244226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61152).

44226 is an abundant number, since it is smaller than the sum of its proper divisors (78078).

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

44226 is a wasteful number, since it uses less digits than its factorization.

44226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 25 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 44226 is about 210.2997860199. The cubic root of 44226 is about 35.3638240031.

Adding to 44226 its sum of digits (18), we get a palindrome (44244).

The spelling of 44226 in words is "forty-four thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 243 273 351 378 486 546 567 702 819 1053 1134 1638 1701 2106 2457 3159 3402 4914 6318 7371 14742 22113 44226