Search a number
-
+
204244315380 = 223257214375641
BaseRepresentation
bin1011111000110111101…
…0001110110011110100
3201112012010201020122100
42332031322032303310
511321243021043010
6233454544302100
720520236015220
oct2761572166364
9645163636570
10204244315380
117968a656166
1233701011930
131634c7429b1
149c57a71780
1554a5da92c0
hex2f8de8ecf4

204244315380 has 144 divisors (see below), whose sum is σ = 708386724864. Its totient is φ = 46662013440.

The previous prime is 204244315369. The next prime is 204244315397. The reversal of 204244315380 is 83513442402.

204244315380 is a `hidden beast` number, since 2 + 0 + 4 + 244 + 31 + 5 + 380 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2662360 + ... + 2738000.

It is an arithmetic number, because the mean of its divisors is an integer number (4919352256).

Almost surely, 2204244315380 is an apocalyptic number.

204244315380 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 204244315380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354193362432).

204244315380 is an abundant number, since it is smaller than the sum of its proper divisors (504142409484).

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

204244315380 is a wasteful number, since it uses less digits than its factorization.

204244315380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77806 (or 77801 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 204244315380 its reverse (83513442402), we get a palindrome (287757757782).

The spelling of 204244315380 in words is "two hundred four billion, two hundred forty-four million, three hundred fifteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 2143 4286 6429 8572 10715 12858 15001 19287 21430 25716 30002 32145 38574 42860 45003 60004 64290 75005 75641 77148 90006 96435 128580 135009 150010 151282 180012 192870 225015 226923 270018 300020 302564 378205 385740 450030 453846 529487 540036 675045 680769 756410 900060 907692 1058974 1134615 1350090 1361538 1512820 1588461 2117948 2269230 2647435 2700180 2723076 3176922 3403845 4538460 4765383 5294870 6353844 6807690 7942305 9530766 10589740 13615380 15884610 19061532 23826915 31769220 47653830 95307660 162098663 324197326 486295989 648394652 810493315 972591978 1134690641 1458887967 1620986630 1945183956 2269381282 2431479945 2917775934 3241973260 3404071923 4538762564 4862959890 5673453205 5835551868 6808143846 7294439835 9725919780 10212215769 11346906410 13616287692 14588879670 17020359615 20424431538 22693812820 29177759340 34040719230 40848863076 51061078845 68081438460 102122157690 204244315380