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200330016 = 25359113313
BaseRepresentation
bin10111111000011…
…00101100100000
3111221221211010020
423330030230200
5402241030031
631513433440
74651530345
oct1374145440
9457854106
10200330016
11a30989a7
125710b880
1332671593
141c86a7cc
15128c2096
hexbf0cb20

200330016 has 96 divisors (see below), whose sum is σ = 541235520. Its totient is φ = 64856064.

The previous prime is 200329973. The next prime is 200330033. The reversal of 200330016 is 610033002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 200329977 and 200330004.

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 15 ways as a sum of consecutive naturals, for example, 639876 + ... + 640188.

It is an arithmetic number, because the mean of its divisors is an integer number (5637870).

Almost surely, 2200330016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200330016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270617760).

200330016 is an abundant number, since it is smaller than the sum of its proper divisors (340905504).

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

200330016 is a wasteful number, since it uses less digits than its factorization.

200330016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 200330016 is about 14153.7986420607. The cubic root of 200330016 is about 585.1250284303.

Adding to 200330016 its reverse (610033002), we get a palindrome (810363018).

The spelling of 200330016 in words is "two hundred million, three hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 113 118 177 226 236 313 339 354 452 472 626 678 708 904 939 944 1252 1356 1416 1808 1878 1888 2504 2712 2832 3616 3756 5008 5424 5664 6667 7512 10016 10848 13334 15024 18467 20001 26668 30048 35369 36934 40002 53336 55401 70738 73868 80004 106107 106672 110802 141476 147736 160008 212214 213344 221604 282952 295472 320016 424428 443208 565904 590944 640032 848856 886416 1131808 1697712 1772832 2086771 3395424 4173542 6260313 8347084 12520626 16694168 25041252 33388336 50082504 66776672 100165008 200330016