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200614368 = 2532239371
BaseRepresentation
bin10111111010100…
…10000111100000
3111222111021011210
423331102013200
5402324124433
631523510120
74654123353
oct1375220740
9458437153
10200614368
11a32725a9
1257228340
1332740b36
141c90229a
151292b463
hexbf521e0

200614368 has 48 divisors (see below), whose sum is σ = 529030656. Its totient is φ = 66564480.

The previous prime is 200614363. The next prime is 200614409. The reversal of 200614368 is 863416002.

200614368 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 (48).

It is a super-2 number, since 2×2006143682 = 80492249296078848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200614363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16723 + ... + 26093.

It is an arithmetic number, because the mean of its divisors is an integer number (11021472).

Almost surely, 2200614368 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 200614368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264515328).

200614368 is an abundant number, since it is smaller than the sum of its proper divisors (328416288).

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

200614368 is a wasteful number, since it uses less digits than its factorization.

200614368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9607 (or 9599 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 200614368 is about 14163.8401572455. The cubic root of 200614368 is about 585.4017431830.

The spelling of 200614368 in words is "two hundred million, six hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 223 446 669 892 1338 1784 2676 3568 5352 7136 9371 10704 18742 21408 28113 37484 56226 74968 112452 149936 224904 299872 449808 899616 2089733 4179466 6269199 8358932 12538398 16717864 25076796 33435728 50153592 66871456 100307184 200614368