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199309316220 = 223257169993103
BaseRepresentation
bin1011100110011111000…
…0101101000001111100
3201001110012122022110200
42321213300231001330
511231141141104340
6231321134203500
720254033143450
oct2714760550174
9631405568420
10199309316220
1177587a05263
1232764353590
1315a441c2351
14990a490660
1552b79e2330
hex2e67c2d07c

199309316220 has 144 divisors (see below), whose sum is σ = 691353062400. Its totient is φ = 45529112448.

The previous prime is 199309316207. The next prime is 199309316237. The reversal of 199309316220 is 22613903991.

199309316220 is a `hidden beast` number, since 1 + 9 + 9 + 309 + 316 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 2094189 + ... + 2187291.

Almost surely, 2199309316220 is an apocalyptic number.

199309316220 is a gapful number since it is divisible by the number (10) 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 199309316220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345676531200).

199309316220 is an abundant number, since it is smaller than the sum of its proper divisors (492043746180).

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

199309316220 is a wasteful number, since it uses less digits than its factorization.

199309316220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94824 (or 94819 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 199309316220 in words is "one hundred ninety-nine billion, three hundred nine million, three hundred sixteen thousand, two hundred twenty".

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 1699 3398 5097 6796 8495 10194 11893 15291 16990 20388 23786 25485 30582 33980 35679 47572 50970 59465 61164 71358 76455 93103 101940 107037 118930 142716 152910 178395 186206 214074 237860 279309 305820 356790 372412 428148 465515 535185 558618 651721 713580 837927 931030 1070370 1117236 1303442 1396545 1675854 1862060 1955163 2140740 2606884 2793090 3258605 3351708 3910326 4189635 5586180 5865489 6517210 7820652 8379270 9775815 11730978 13034420 16758540 19551630 23461956 29327445 39103260 58654890 117309780 158181997 316363994 474545991 632727988 790909985 949091982 1107273979 1423637973 1581819970 1898183964 2214547958 2372729955 2847275946 3163639940 3321821937 4429095916 4745459910 5536369895 5694551892 6643643874 7118189865 9490919820 9965465811 11072739790 13287287748 14236379730 16609109685 19930931622 22145479580 28472759460 33218219370 39861863244 49827329055 66436438740 99654658110 199309316220