Search a number
-
+
228162636 = 2233131011609
BaseRepresentation
bin11011001100101…
…11110001001100
3120220022212022000
431212113301030
5431402201021
634350152300
75440231122
oct1546276114
9526285260
10228162636
11107878a69
12644b2690
1338367ba0
1422433912
151506db26
hexd997c4c

228162636 has 96 divisors (see below), whose sum is σ = 643742400. Its totient is φ = 69465600.

The previous prime is 228162611. The next prime is 228162643. The reversal of 228162636 is 636261822.

228162636 is a `hidden beast` number, since 2 + 2 + 8 + 16 + 2 + 636 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (41472) is a multiple of the sum of its prime divisors (1728).

It is a self number, because there is not a number n which added to its sum of digits gives 228162636.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141000 + ... + 142608.

It is an arithmetic number, because the mean of its divisors is an integer number (6705650).

Almost surely, 2228162636 is an apocalyptic number.

228162636 is a gapful number since it is divisible by the number (26) 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 228162636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321871200).

228162636 is an abundant number, since it is smaller than the sum of its proper divisors (415579764).

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

228162636 is a wasteful number, since it uses less digits than its factorization.

228162636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1728 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 228162636 is about 15105.0533266189. The cubic root of 228162636 is about 611.0566975047.

It can be divided in two parts, 22816 and 2636, that added together give a palindrome (25452).

The spelling of 228162636 in words is "two hundred twenty-eight million, one hundred sixty-two thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 101 108 117 156 202 234 303 351 404 468 606 702 909 1212 1313 1404 1609 1818 2626 2727 3218 3636 3939 4827 5252 5454 6436 7878 9654 10908 11817 14481 15756 19308 20917 23634 28962 35451 41834 43443 47268 57924 62751 70902 83668 86886 125502 141804 162509 173772 188253 251004 325018 376506 487527 564759 650036 753012 975054 1129518 1462581 1950108 2112617 2259036 2925162 4225234 4387743 5850324 6337851 8450468 8775486 12675702 17550972 19013553 25351404 38027106 57040659 76054212 114081318 228162636