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200000213 = 731930689
BaseRepresentation
bin10111110101111…
…00001011010101
3111221100001201022
423322330023111
5402200001323
631502410525
74645655000
oct1372741325
9457301638
10200000213
11a2993136
1256b90a45
133258742a
141c7c2537
15128594c8
hexbebc2d5

200000213 has 16 divisors (see below), whose sum is σ = 245520000. Its totient is φ = 162400896.

The previous prime is 200000209. The next prime is 200000221. The reversal of 200000213 is 312000002.

It is not a de Polignac number, because 200000213 - 22 = 200000209 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 200000213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200000243) 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, 8828 + ... + 21861.

It is an arithmetic number, because the mean of its divisors is an integer number (15345000).

Almost surely, 2200000213 is an apocalyptic number.

It is an amenable number.

200000213 is a deficient number, since it is larger than the sum of its proper divisors (45519787).

200000213 is an equidigital number, since it uses as much as digits as its factorization.

200000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30729 (or 30715 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 200000213 is about 14142.1431544162. The cubic root of 200000213 is about 584.8037552478.

Adding to 200000213 its reverse (312000002), we get a palindrome (512000215).

The spelling of 200000213 in words is "two hundred million, two hundred thirteen", and thus it is an aban number.

Divisors: 1 7 19 49 133 343 931 6517 30689 214823 583091 1503761 4081637 10526327 28571459 200000213