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2000200200 = 233524337699
BaseRepresentation
bin111011100111000…
…1010001000001000
312011101201200211220
41313032022020020
513044022401300
6530251122040
7100365264315
oct16716121010
95141650756
102000200200
11937074019
12479a43320
1325b51751b
1414d90bd0c
15ba901da0
hex7738a208

2000200200 has 96 divisors (see below), whose sum is σ = 6215748000. Its totient is φ = 532085760.

The previous prime is 2000200193. The next prime is 2000200201. The reversal of 2000200200 is 20020002.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

2000200200 is a modest number, since divided by 200200 gives 2000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (2000200201) 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 23 ways as a sum of consecutive naturals, for example, 255951 + ... + 263649.

It is an arithmetic number, because the mean of its divisors is an integer number (64747375).

Almost surely, 22000200200 is an apocalyptic number.

2000200200 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 2000200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107874000).

2000200200 is an abundant number, since it is smaller than the sum of its proper divisors (4215547800).

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

2000200200 is a wasteful number, since it uses less digits than its factorization.

2000200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8151 (or 8142 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 2000200200 is about 44723.5977980305. The cubic root of 2000200200 is about 1259.9630878579.

Adding to 2000200200 its reverse (20020002), we get a palindrome (2020220202).

The spelling of 2000200200 in words is "two billion, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 433 600 866 1299 1732 2165 2598 3464 4330 5196 6495 7699 8660 10392 10825 12990 15398 17320 21650 23097 25980 30796 32475 38495 43300 46194 51960 61592 64950 76990 86600 92388 115485 129900 153980 184776 192475 230970 259800 307960 384950 461940 577425 769900 923880 1154850 1539800 2309700 3333667 4619400 6667334 10001001 13334668 16668335 20002002 26669336 33336670 40004004 50005005 66673340 80008008 83341675 100010010 133346680 166683350 200020020 250025025 333366700 400040040 500050050 666733400 1000100100 2000200200