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2002000200 = 233526749801
BaseRepresentation
bin111011101010100…
…0001100101001000
312011112010010222120
41313111001211020
513100003001300
6530353451240
7100416502164
oct16725014510
95145103876
102002000200
11938093422
1247a570b20
1325b9c7905
1414dc59ca4
15bab5a3a0
hex77541948

2002000200 has 96 divisors (see below), whose sum is σ = 6298956960. Its totient is φ = 525888000.

The previous prime is 2002000199. The next prime is 2002000219. The reversal of 2002000200 is 20002002.

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.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15300 + ... + 65100.

It is an arithmetic number, because the mean of its divisors is an integer number (65614135).

Almost surely, 22002000200 is an apocalyptic number.

2002000200 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 2002000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149478480).

2002000200 is an abundant number, since it is smaller than the sum of its proper divisors (4296956760).

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

2002000200 is a wasteful number, since it uses less digits than its factorization.

2002000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49887 (or 49878 counting only the distinct ones).

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

The square root of 2002000200 is about 44743.7168773449. The cubic root of 2002000200 is about 1260.3409256341.

Adding to 2002000200 its reverse (20002002), we get a palindrome (2022002202).

The spelling of 2002000200 in words is "two billion, two million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 67 75 100 120 134 150 200 201 268 300 335 402 536 600 670 804 1005 1340 1608 1675 2010 2680 3350 4020 5025 6700 8040 10050 13400 20100 40200 49801 99602 149403 199204 249005 298806 398408 498010 597612 747015 996020 1195224 1245025 1494030 1992040 2490050 2988060 3336667 3735075 4980100 5976120 6673334 7470150 9960200 10010001 13346668 14940300 16683335 20020002 26693336 29880600 33366670 40040004 50050005 66733340 80080008 83416675 100100010 133466680 166833350 200200020 250250025 333666700 400400040 500500050 667333400 1001000100 2002000200