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2099021904 = 243373122391
BaseRepresentation
bin111110100011100…
…1000100001010000
312102021200100202000
41331013020201100
513244322200104
6544141154000
7103005251250
oct17507104120
95367610660
102099021904
11987930251
124a6b5b900
13275b378c5
1415cab3960
15c4422639
hex7d1c8850

2099021904 has 160 divisors (see below), whose sum is σ = 7108116480. Its totient is φ = 580348800.

The previous prime is 2099021879. The next prime is 2099021917. The reversal of 2099021904 is 4091209902.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82549 + ... + 104939.

It is an arithmetic number, because the mean of its divisors is an integer number (44425728).

Almost surely, 22099021904 is an apocalyptic number.

2099021904 is a gapful number since it is divisible by the number (24) 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 2099021904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554058240).

2099021904 is an abundant number, since it is smaller than the sum of its proper divisors (5009094576).

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

2099021904 is a wasteful number, since it uses less digits than its factorization.

2099021904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22446 (or 22434 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 2099021904 is about 45815.0838043542. The cubic root of 2099021904 is about 1280.3803199290.

The spelling of 2099021904 in words is "two billion, ninety-nine million, twenty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 36 42 48 54 56 62 63 72 84 93 108 112 124 126 144 168 186 189 216 217 248 252 279 336 372 378 432 434 496 504 558 651 744 756 837 868 1008 1116 1302 1488 1512 1674 1736 1953 2232 2604 3024 3348 3472 3906 4464 5208 5859 6696 7812 10416 11718 13392 15624 22391 23436 31248 44782 46872 67173 89564 93744 134346 156737 179128 201519 268692 313474 358256 403038 470211 537384 604557 626948 694121 806076 940422 1074768 1209114 1253896 1388242 1410633 1612152 1880844 2082363 2418228 2507792 2776484 2821266 3224304 3761688 4164726 4231899 4836456 4858847 5552968 5642532 6247089 7523376 8329452 8463798 9672912 9717694 11105936 11285064 12494178 14576541 16658904 16927596 18741267 19435388 22570128 24988356 29153082 33317808 33855192 37482534 38870776 43729623 49976712 58306164 67710384 74965068 77741552 87459246 99953424 116612328 131188869 149930136 174918492 233224656 262377738 299860272 349836984 524755476 699673968 1049510952 2099021904