Search a number
-
+
2323200132 = 22321113274421
BaseRepresentation
bin1000101001111001…
…0011100010000100
312222220111210110100
42022132103202010
514224214401012
61022310124100
7111366606141
oct21236234204
95886453410
102323200132
11a92427710
1254a050630
132b0409046
1418078b3c8
15d8e558dc
hex8a793884

2323200132 has 72 divisors (see below), whose sum is σ = 6412678272. Its totient is φ = 703310400.

The previous prime is 2323200079. The next prime is 2323200211. The reversal of 2323200132 is 2310023232.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 523282 + ... + 527702.

It is an arithmetic number, because the mean of its divisors is an integer number (89064976).

Almost surely, 22323200132 is an apocalyptic number.

2323200132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2323200132 is an abundant number, since it is smaller than the sum of its proper divisors (4089478140).

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

2323200132 is a wasteful number, since it uses less digits than its factorization.

2323200132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5769 (or 5764 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2323200132 is about 48199.5864297610. The cubic root of 2323200132 is about 1324.4295884832.

Adding to 2323200132 its reverse (2310023232), we get a palindrome (4633223364).

Subtracting from 2323200132 its reverse (2310023232), we obtain a square (13176900 = 36302).

The spelling of 2323200132 in words is "two billion, three hundred twenty-three million, two hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1327 2654 3981 4421 5308 7962 8842 11943 13263 14597 15924 17684 23886 26526 29194 39789 43791 47772 48631 53052 58388 79578 87582 97262 131373 145893 159156 175164 194524 262746 291786 437679 525492 583572 875358 1750716 5866667 11733334 17600001 23466668 35200002 52800003 64533337 70400004 105600006 129066674 193600011 211200012 258133348 387200022 580800033 774400044 1161600066 2323200132