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200200200200 = 2352711131019901
BaseRepresentation
bin1011101001110011011…
…1001010000000001000
3201010202021222220112122
42322130313022000020
511240002222401300
6231545401030412
720315101424030
oct2723467120010
9633667886478
10200200200200
11779a4880610
1232972785408
1315b56946630
1499929168c0
15531ad1cc85
hex2e9cdca008

200200200200 has 384 divisors, whose sum is σ = 631212099840. Its totient is φ = 57024000000.

The previous prime is 200200200157. The next prime is 200200200203. The reversal of 200200200200 is 2002002002.

It is a Harshad number since it is a multiple of its sum of digits (8).

200200200200 is a modest number, since divided by 200200200 gives 200 as remainder.

It is not an unprimeable number, because it can be changed into a prime (200200200203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20215250 + ... + 20225150.

It is an arithmetic number, because the mean of its divisors is an integer number (1643781510).

Almost surely, 2200200200200 is an apocalyptic number.

200200200200 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 200200200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315606049920).

200200200200 is an abundant number, since it is smaller than the sum of its proper divisors (431011899640).

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

200200200200 is a wasteful number, since it uses less digits than its factorization.

200200200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10049 (or 10040 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 200200200200 its reverse (2002002002), we get a palindrome (202202202202).

200200200200 divided by its reverse (2002002002) gives a square (100 = 102).

The spelling of 200200200200 in words is "two hundred billion, two hundred million, two hundred thousand, two hundred".