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200613300 = 223522923059
BaseRepresentation
bin10111111010100…
…01110110110100
3111222111012201020
423331101312310
5402324111200
631523501140
74654120266
oct1375216664
9458435636
10200613300
11a3271818
12572277b0
13327404c4
141c901b36
151292aea0
hexbf51db4

200613300 has 72 divisors (see below), whose sum is σ = 600482400. Its totient is φ = 51649920.

The previous prime is 200613289. The next prime is 200613313. The reversal of 200613300 is 3316002.

It is a super-2 number, since 2×2006133002 = 80491392273780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200613300.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2830 + ... + 20229.

Almost surely, 2200613300 is an apocalyptic number.

200613300 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 200613300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300241200).

200613300 is an abundant number, since it is smaller than the sum of its proper divisors (399869100).

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

200613300 is a wasteful number, since it uses less digits than its factorization.

200613300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23105 (or 23098 counting only the distinct ones).

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

The square root of 200613300 is about 14163.8024555555. The cubic root of 200613300 is about 585.4007043571.

Adding to 200613300 its reverse (3316002), we get a palindrome (203929302).

The spelling of 200613300 in words is "two hundred million, six hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 8700 23059 46118 69177 92236 115295 138354 230590 276708 345885 461180 576475 668711 691770 1152950 1337422 1383540 1729425 2006133 2305900 2674844 3343555 3458850 4012266 6687110 6917700 8024532 10030665 13374220 16717775 20061330 33435550 40122660 50153325 66871100 100306650 200613300