Search a number
-
+
2168304684 = 2237513827
BaseRepresentation
bin1000000100111101…
…1011010000101100
312121010001021211220
42001033123100230
513420041222214
6555054143340
7104506200000
oct20117332054
95533037756
102168304684
11a12a51447
125061b1b50
132872b4b30
14167d8a700
15ca55a9a9
hex813db42c

2168304684 has 144 divisors (see below), whose sum is σ = 6364286208. Its totient is φ = 571169088.

The previous prime is 2168304679. The next prime is 2168304701. The reversal of 2168304684 is 4864038612.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2621479 + ... + 2622305.

It is an arithmetic number, because the mean of its divisors is an integer number (44196432).

Almost surely, 22168304684 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2168304684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3182143104).

2168304684 is an abundant number, since it is smaller than the sum of its proper divisors (4195981524).

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

2168304684 is an equidigital number, since it uses as much as digits as its factorization.

2168304684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 2168304684 is about 46565.0586169501. The cubic root of 2168304684 is about 1294.3153527345.

The spelling of 2168304684 in words is "two billion, one hundred sixty-eight million, three hundred four thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 343 364 546 588 637 686 827 1029 1092 1274 1372 1654 1911 2058 2401 2481 2548 3308 3822 4116 4459 4802 4962 5789 7203 7644 8918 9604 9924 10751 11578 13377 14406 16807 17367 17836 21502 23156 26754 28812 31213 32253 33614 34734 40523 43004 50421 53508 62426 64506 67228 69468 75257 81046 93639 100842 121569 124852 129012 150514 162092 187278 201684 218491 225771 243138 283661 301028 374556 436982 451542 486276 526799 567322 655473 850983 873964 903084 1053598 1134644 1310946 1580397 1701966 1985627 2107196 2621892 3160794 3403932 3687593 3971254 5956881 6321588 7375186 7942508 11062779 11913762 13899389 14750372 22125558 23827524 25813151 27798778 41698167 44251116 51626302 55597556 77439453 83396334 103252604 154878906 166792668 180692057 309757812 361384114 542076171 722768228 1084152342 2168304684