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6809912220 = 2235232415233
BaseRepresentation
bin1100101011110011…
…10000001110011100
3122120121001101101010
412111321300032130
5102421314142340
63043424015220
7330520204326
oct62571601634
918517041333
106809912220
112985021931
1213a0761510
13846b0c577
144885d8616
1529ccbbb80
hex195e7039c

6809912220 has 144 divisors (see below), whose sum is σ = 20422900512. Its totient is φ = 1694330880.

The previous prime is 6809912191. The next prime is 6809912233. The reversal of 6809912220 is 222199086.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1298724 + ... + 1303956.

It is an arithmetic number, because the mean of its divisors is an integer number (141825698).

Almost surely, 26809912220 is an apocalyptic number.

6809912220 is a gapful number since it is divisible by the number (60) 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 6809912220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10211450256).

6809912220 is an abundant number, since it is smaller than the sum of its proper divisors (13612988292).

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

6809912220 is a wasteful number, since it uses less digits than its factorization.

6809912220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5332 (or 5307 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 6809912220 is about 82522.1922878931. The cubic root of 6809912220 is about 1895.4565697197.

The spelling of 6809912220 in words is "six billion, eight hundred nine million, nine hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 41 46 60 69 82 92 115 123 138 164 205 230 246 276 345 410 460 492 529 615 690 820 943 1058 1230 1380 1587 1886 2116 2460 2645 2829 3174 3772 4715 5233 5290 5658 6348 7935 9430 10466 10580 11316 14145 15699 15870 18860 20932 21689 26165 28290 31398 31740 43378 52330 56580 62796 65067 78495 86756 104660 108445 120359 130134 156990 214553 216890 240718 260268 313980 325335 361077 429106 433780 481436 601795 643659 650670 722154 858212 1072765 1203590 1287318 1301340 1444308 1805385 2145530 2407180 2574636 2768257 3218295 3610770 4291060 4934719 5536514 6436590 7221540 8304771 9869438 11073028 12873180 13841285 14804157 16609542 19738876 24673595 27682570 29608314 33219084 41523855 49347190 55365140 59216628 74020785 83047710 98694380 113498537 148041570 166095420 226997074 296083140 340495611 453994148 567492685 680991222 1134985370 1361982444 1702478055 2269970740 3404956110 6809912220