Search a number
-
+
233003200300 = 225213476136221
BaseRepresentation
bin1101100100000000010…
…0101010111100101100
3211021102101121222012021
43121000010222330230
512304142304402200
6255012403115524
722556015344603
oct3310004527454
9737371558167
10233003200300
118a8a8261052
12391a8372ba4
1318c83949370
14b3c5326a3a
1560daa7541a
hex364012af2c

233003200300 has 144 divisors (see below), whose sum is σ = 557092593792. Its totient is φ = 84050611200.

The previous prime is 233003200271. The next prime is 233003200303. The reversal of 233003200300 is 3002300332.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (233003200303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37451190 + ... + 37457410.

It is an arithmetic number, because the mean of its divisors is an integer number (3868698568).

Almost surely, 2233003200300 is an apocalyptic number.

233003200300 is a gapful number since it is divisible by the number (20) 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 233003200300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278546296896).

233003200300 is an abundant number, since it is smaller than the sum of its proper divisors (324089393492).

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

233003200300 is a wasteful number, since it uses less digits than its factorization.

233003200300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6908 (or 6901 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 16.

Adding to 233003200300 its reverse (3002300332), we get a palindrome (236005500632).

The spelling of 233003200300 in words is "two hundred thirty-three billion, three million, two hundred thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 47 50 52 65 94 100 130 188 235 260 325 470 611 613 650 940 1175 1222 1226 1300 2350 2444 2452 3055 3065 4700 6110 6130 6221 7969 12220 12260 12442 15275 15325 15938 24884 28811 30550 30650 31105 31876 39845 57622 61100 61300 62210 79690 80873 115244 124420 144055 155525 159380 161746 199225 288110 292387 311050 323492 374543 398450 404365 576220 584774 622100 720275 749086 796900 808730 1169548 1440550 1461935 1498172 1617460 1872715 2021825 2881100 2923870 3745430 3801031 3813473 4043650 5847740 7309675 7490860 7602062 7626946 8087300 9363575 14619350 15204124 15253892 18727150 19005155 19067365 29238700 37454300 38010310 38134730 49575149 76020620 76269460 95025775 95336825 99150298 179233231 190051550 190673650 198300596 247875745 358466462 380103100 381347300 495751490 716932924 896166155 991502980 1239378725 1792332310 2330032003 2478757450 3584664620 4480830775 4660064006 4957514900 8961661550 9320128012 11650160015 17923323100 23300320030 46600640060 58250800075 116501600150 233003200300