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200016880 = 24572511423
BaseRepresentation
bin10111110110000…
…00001111110000
3111221100220120121
423323000033300
5402201020010
631503020024
74646054410
oct1373001760
9457326517
10200016880
11a29a4708
1256b9a614
1332591bab
141c7c8640
151285e3da
hexbec03f0

200016880 has 80 divisors (see below), whose sum is σ = 533965824. Its totient is φ = 68256000.

The previous prime is 200016877. The next prime is 200016889. The reversal of 200016880 is 88610002.

200016880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200016889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139849 + ... + 141271.

Almost surely, 2200016880 is an apocalyptic number.

200016880 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 200016880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266982912).

200016880 is an abundant number, since it is smaller than the sum of its proper divisors (333948944).

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

200016880 is a wasteful number, since it uses less digits than its factorization.

200016880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 200016880 is about 14142.7324092624. The cubic root of 200016880 is about 584.8199996529.

Adding to 200016880 its reverse (88610002), we get a palindrome (288626882).

The spelling of 200016880 in words is "two hundred million, sixteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 251 280 502 560 1004 1255 1423 1757 2008 2510 2846 3514 4016 5020 5692 7028 7115 8785 9961 10040 11384 14056 14230 17570 19922 20080 22768 28112 28460 35140 39844 49805 56920 70280 79688 99610 113840 140560 159376 199220 357173 398440 714346 796880 1428692 1785865 2500211 2857384 3571730 5000422 5714768 7143460 10000844 12501055 14286920 20001688 25002110 28573840 40003376 50004220 100008440 200016880