Search a number
-
+
2321331200 = 2105290677
BaseRepresentation
bin1000101001011100…
…1011010000000000
312222202222211202122
42022113023100000
514223230044300
61022202103412
7111344663306
oct21227132000
95882884678
102321331200
11a91370541
125494aab68
132acc03476
14180422276
15d8bd6c85
hex8a5cb400

2321331200 has 66 divisors (see below), whose sum is σ = 5754153846. Its totient is φ = 928522240.

The previous prime is 2321331191. The next prime is 2321331217. The reversal of 2321331200 is 21331232.

It can be written as a sum of positive squares in 3 ways, for example, as 14258176 + 2307073024 = 3776^2 + 48032^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19739 + ... + 70938.

Almost surely, 22321331200 is an apocalyptic number.

2321331200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2321331200 is an abundant number, since it is smaller than the sum of its proper divisors (3432822646).

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

2321331200 is an equidigital number, since it uses as much as digits as its factorization.

2321331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90707 (or 90684 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2321331200 is about 48180.1951013069. The cubic root of 2321331200 is about 1324.0743410155.

Adding to 2321331200 its reverse (21331232), we get a palindrome (2342662432).

The spelling of 2321331200 in words is "two billion, three hundred twenty-one million, three hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2560 3200 5120 6400 12800 25600 90677 181354 362708 453385 725416 906770 1450832 1813540 2266925 2901664 3627080 4533850 5803328 7254160 9067700 11606656 14508320 18135400 23213312 29016640 36270800 46426624 58033280 72541600 92853248 116066560 145083200 232133120 290166400 464266240 580332800 1160665600 2321331200