Search a number
-
+
22443042240 = 263257792723
BaseRepresentation
bin10100111001101101…
…011010010111000000
32010221002112200011200
4110321231122113000
5331430404322430
614151000141200
71423105466013
oct247155322700
963832480150
1022443042240
11957756a8a3
124424167800
132168883a68
14112c94b37a
158b5495460
hex539b5a5c0

22443042240 has 84 divisors (see below), whose sum is σ = 77194723944. Its totient is φ = 5984810496.

The previous prime is 22443042227. The next prime is 22443042247. The reversal of 22443042240 is 4224034422.

22443042240 is a `hidden beast` number, since 2 + 2 + 4 + 430 + 4 + 224 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22443042247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3893482 + ... + 3899241.

Almost surely, 222443042240 is an apocalyptic number.

22443042240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22443042240 is an abundant number, since it is smaller than the sum of its proper divisors (54751681704).

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

22443042240 is a wasteful number, since it uses less digits than its factorization.

22443042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7792746 (or 7792733 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 22443042240 its reverse (4224034422), we get a palindrome (26667076662).

The spelling of 22443042240 in words is "twenty-two billion, four hundred forty-three million, forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 7792723 15585446 23378169 31170892 38963615 46756338 62341784 70134507 77927230 93512676 116890845 124683568 140269014 155854460 187025352 233781690 249367136 280538028 311708920 350672535 374050704 467563380 498734272 561076056 623417840 701345070 748101408 935126760 1122152112 1246835680 1402690140 1496202816 1870253520 2244304224 2493671360 2805380280 3740507040 4488608448 5610760560 7481014080 11221521120 22443042240