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200033213 = 2961731549
BaseRepresentation
bin10111110110001…
…00001110111101
3111221101201222112
423323010032331
5402202030323
631503223405
74646153132
oct1373041675
9457351875
10200033213
11a2a05a06
1256ba7b65
1332599463
141c7d0589
1512864178
hexbec43bd

200033213 has 16 divisors (see below), whose sum is σ = 213342000. Its totient is φ = 187246080.

The previous prime is 200033191. The next prime is 200033221. The reversal of 200033213 is 312330002.

It can be written as a sum of positive squares in 8 ways, for example, as 22024249 + 178008964 = 4693^2 + 13342^2 .

It is a cyclic number.

It is not a de Polignac number, because 200033213 - 26 = 200033149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200033233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128363 + ... + 129911.

It is an arithmetic number, because the mean of its divisors is an integer number (13333875).

Almost surely, 2200033213 is an apocalyptic number.

It is an amenable number.

200033213 is a deficient number, since it is larger than the sum of its proper divisors (13308787).

200033213 is a wasteful number, since it uses less digits than its factorization.

200033213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712.

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 200033213 is about 14143.3098318604. The cubic root of 200033213 is about 584.8359176512.

Adding to 200033213 its reverse (312330002), we get a palindrome (512363215).

The spelling of 200033213 in words is "two hundred million, thirty-three thousand, two hundred thirteen".

Divisors: 1 29 61 73 1549 1769 2117 4453 44921 94489 113077 129137 2740181 3279233 6897697 200033213