Search a number
-
+
226380 = 22357311
BaseRepresentation
bin110111010001001100
3102111112110
4313101030
524221010
64504020
71632000
oct672114
9374473
10226380
111450a0
12ab010
137c06b
145c700
1547120
hex3744c

226380 has 96 divisors (see below), whose sum is σ = 806400. Its totient is φ = 47040.

The previous prime is 226379. The next prime is 226381. The reversal of 226380 is 83622.

226380 = T21 + T22 + ... + T110.

226380 is nontrivially palindromic in base 9.

226380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226379) and next prime (226381).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20575 + ... + 20585.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

2226380 is an apocalyptic number.

226380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403200).

226380 is an abundant number, since it is smaller than the sum of its proper divisors (580020).

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

226380 is a wasteful number, since it uses less digits than its factorization.

226380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 226380 is about 475.7940731031. The cubic root of 226380 is about 60.9461138382.

It can be divided in two parts, 226 and 380, that added together give a palindrome (606).

The spelling of 226380 in words is "two hundred twenty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 49 55 60 66 70 77 84 98 105 110 132 140 147 154 165 196 210 220 231 245 294 308 330 343 385 420 462 490 539 588 660 686 735 770 924 980 1029 1078 1155 1372 1470 1540 1617 1715 2058 2156 2310 2695 2940 3234 3430 3773 4116 4620 5145 5390 6468 6860 7546 8085 10290 10780 11319 15092 16170 18865 20580 22638 32340 37730 45276 56595 75460 113190 226380