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2830198840 = 23572412859
BaseRepresentation
bin1010100010110001…
…0110100000111000
321022020111222221021
42220230112200320
521244012330330
61144500552224
7130064202400
oct25054264070
97266458837
102830198840
111222634307
1266b9b2674
13361471891
141cbc45800
1511870267a
hexa8b16838

2830198840 has 144 divisors (see below), whose sum is σ = 7601531400. Its totient is φ = 945584640.

The previous prime is 2830198771. The next prime is 2830198849. The reversal of 2830198840 is 488910382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2830198849) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3294331 + ... + 3295189.

Almost surely, 22830198840 is an apocalyptic number.

2830198840 is a gapful number since it is divisible by the number (20) 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 2830198840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3800765700).

2830198840 is an abundant number, since it is smaller than the sum of its proper divisors (4771332560).

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

2830198840 is a wasteful number, since it uses less digits than its factorization.

2830198840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 2830198840 is about 53199.6131564883. The cubic root of 2830198840 is about 1414.5087866149.

The spelling of 2830198840 in words is "two billion, eight hundred thirty million, one hundred ninety-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 49 56 70 82 98 140 164 196 205 245 280 287 328 392 410 490 574 820 859 980 1148 1435 1640 1681 1718 1960 2009 2296 2870 3362 3436 4018 4295 5740 6013 6724 6872 8036 8405 8590 10045 11480 11767 12026 13448 16072 16810 17180 20090 23534 24052 30065 33620 34360 35219 40180 42091 47068 48104 58835 60130 67240 70438 80360 82369 84182 94136 117670 120260 140876 164738 168364 176095 210455 235340 240520 246533 281752 329476 336728 352190 411845 420910 470680 493066 658952 704380 823690 841820 986132 1232665 1408760 1443979 1647380 1683640 1725731 1972264 2465330 2887958 3294760 3451462 4930660 5775916 6902924 7219895 8628655 9861320 10107853 11551832 13805848 14439790 17257310 20215706 28879580 34514620 40431412 50539265 57759160 69029240 70754971 80862824 101078530 141509942 202157060 283019884 353774855 404314120 566039768 707549710 1415099420 2830198840