Search a number
-
+
2163505212 = 22321123298191
BaseRepresentation
bin1000000011110100…
…0111100000111100
312120210000110012200
42000331013200330
513412324131322
6554403231500
7104420330241
oct20075074074
95523013180
102163505212
11a10273540
12504678590
132862c43cb
1416749b5c8
15c9e0d8ac
hex80f4783c

2163505212 has 144 divisors (see below), whose sum is σ = 6440878080. Its totient is φ = 605404800.

The previous prime is 2163505193. The next prime is 2163505229. The reversal of 2163505212 is 2125053612.

It is a happy number.

2163505212 is a `hidden beast` number, since 2 + 1 + 635 + 0 + 5 + 21 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260037 + ... + 268227.

It is an arithmetic number, because the mean of its divisors is an integer number (44728320).

Almost surely, 22163505212 is an apocalyptic number.

2163505212 is a gapful number since it is divisible by the number (22) 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 2163505212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220439040).

2163505212 is an abundant number, since it is smaller than the sum of its proper divisors (4277372868).

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

2163505212 is a wasteful number, since it uses less digits than its factorization.

2163505212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8264 (or 8259 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2163505212 is about 46513.4949450157. The cubic root of 2163505212 is about 1293.3596722651.

Adding to 2163505212 its reverse (2125053612), we get a palindrome (4288558824).

The spelling of 2163505212 in words is "two billion, one hundred sixty-three million, five hundred five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 29 33 36 44 46 58 66 69 87 92 99 116 132 138 174 198 207 253 261 276 319 348 396 414 506 522 638 667 759 828 957 1012 1044 1276 1334 1518 1914 2001 2277 2668 2871 3036 3828 4002 4554 5742 6003 7337 8004 8191 9108 11484 12006 14674 16382 22011 24012 24573 29348 32764 44022 49146 66033 73719 88044 90101 98292 132066 147438 180202 188393 237539 264132 270303 294876 360404 376786 475078 540606 565179 712617 753572 810909 950156 1081212 1130358 1425234 1621818 1695537 2072323 2137851 2260716 2612929 2850468 3243636 3391074 4144646 4275702 5225858 5463397 6216969 6782148 7838787 8289292 8551404 10451716 10926794 12433938 15677574 16390191 18650907 21853588 23516361 24867876 31355148 32780382 37301814 47032722 49170573 60097367 65560764 74603628 94065444 98341146 120194734 180292101 196682292 240389468 360584202 540876303 721168404 1081752606 2163505212