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220000300 = 225213229739
BaseRepresentation
bin11010001110011…
…11000000101100
3120022222011200021
431013033000230
5422310002200
633455211524
75310654202
oct1507170054
9508864607
10220000300
11103203533
1261816ba4
133676a8c0
142130b072
15144aa41a
hexd1cf02c

220000300 has 72 divisors (see below), whose sum is σ = 517067600. Its totient is φ = 80766720.

The previous prime is 220000243. The next prime is 220000303. The reversal of 220000300 is 3000022.

It is not an unprimeable number, because it can be changed into a prime (220000303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297331 + ... + 298069.

Almost surely, 2220000300 is an apocalyptic number.

220000300 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 220000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258533800).

220000300 is an abundant number, since it is smaller than the sum of its proper divisors (297067300).

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

220000300 is a wasteful number, since it uses less digits than its factorization.

220000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 220000300 is about 14832.4070871858. The cubic root of 220000300 is about 603.6813480801.

Adding to 220000300 its reverse (3000022), we get a palindrome (223000322).

The spelling of 220000300 in words is "two hundred twenty million, three hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 229 260 325 458 650 739 916 1145 1300 1478 2290 2956 2977 3695 4580 5725 5954 7390 9607 11450 11908 14780 14885 18475 19214 22900 29770 36950 38428 48035 59540 73900 74425 96070 148850 169231 192140 240175 297700 338462 480350 676924 846155 960700 1692310 2200003 3384620 4230775 4400006 8461550 8800012 11000015 16923100 22000030 44000060 55000075 110000150 220000300