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2830200 = 233525389
BaseRepresentation
bin1010110010111101111000
312022210022020
422302331320
51211031300
6140354440
733025212
oct12627570
95283266
102830200
11166340a
12b45a20
13781299
145395b2
153ad8a0
hex2b2f78

2830200 has 96 divisors (see below), whose sum is σ = 9039600. Its totient is φ = 732160.

The previous prime is 2830187. The next prime is 2830229. The reversal of 2830200 is 20382.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2830200.

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 23 ways as a sum of consecutive naturals, for example, 31756 + ... + 31844.

22830200 is an apocalyptic number.

2830200 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 2830200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4519800).

2830200 is an abundant number, since it is smaller than the sum of its proper divisors (6209400).

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

2830200 is a wasteful number, since it uses less digits than its factorization.

2830200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2830200 is about 1682.3198269057. The cubic root of 2830200 is about 141.4508979867.

Adding to 2830200 its reverse (20382), we get a palindrome (2850582).

The spelling of 2830200 in words is "two million, eight hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 53 60 75 89 100 106 120 150 159 178 200 212 265 267 300 318 356 424 445 530 534 600 636 712 795 890 1060 1068 1272 1325 1335 1590 1780 2120 2136 2225 2650 2670 3180 3560 3975 4450 4717 5300 5340 6360 6675 7950 8900 9434 10600 10680 13350 14151 15900 17800 18868 23585 26700 28302 31800 37736 47170 53400 56604 70755 94340 113208 117925 141510 188680 235850 283020 353775 471700 566040 707550 943400 1415100 2830200