Search a number
-
+
206334257220 = 2232571312596719
BaseRepresentation
bin1100000000101001111…
…0101110100001000100
3201201120210022021212200
43000022132232201010
511340033032212340
6234442203114500
720623104151140
oct3001236564104
9651523267780
10206334257220
117a562344423
1233ba4b12a30
13165c371b680
149db5460220
1555795d6330
hex300a7ae844

206334257220 has 144 divisors (see below), whose sum is σ = 770314621440. Its totient is φ = 43534257408.

The previous prime is 206334257209. The next prime is 206334257251. The reversal of 206334257220 is 22752433602.

206334257220 is a `hidden beast` number, since 2 + 0 + 6 + 3 + 3 + 425 + 7 + 220 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6281980 + ... + 6314739.

Almost surely, 2206334257220 is an apocalyptic number.

206334257220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206334257220 is an abundant number, since it is smaller than the sum of its proper divisors (563980364220).

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

206334257220 is a wasteful number, since it uses less digits than its factorization.

206334257220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12596754 (or 12596749 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 206334257220 in words is "two hundred six billion, three hundred thirty-four million, two hundred fifty-seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8190 16380 12596719 25193438 37790157 50386876 62983595 75580314 88177033 113370471 125967190 151160628 163757347 176354066 188950785 226740942 251934380 264531099 327514694 352708132 377901570 440885165 453481884 491272041 529062198 566852355 655029388 755803140 793593297 818786735 881770330 982544082 1058124396 1133704710 1146301429 1322655495 1473816123 1587186594 1637573470 1763540660 1965088164 2267409420 2292602858 2456360205 2645310990 2947632246 3174373188 3275146940 3438904287 3967966485 4585205716 4912720410 5290621980 5731507145 5895264492 6877808574 7369080615 7935932970 9825440820 10316712861 11463014290 13755617148 14738161230 15871865940 17194521435 20633425722 22926028580 29476322460 34389042870 41266851444 51583564305 68778085740 103167128610 206334257220