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206220200 = 235217131463
BaseRepresentation
bin11000100101010…
…10101110101000
3112101001001221012
430102222232220
5410243021300
632244003052
75052562034
oct1422525650
9471031835
10206220200
11a645131a
1259090488
13339545b4
141d5611c4
1513187435
hexc4aaba8

206220200 has 96 divisors (see below), whose sum is σ = 512645760. Its totient is φ = 76876800.

The previous prime is 206220197. The next prime is 206220221. The reversal of 206220200 is 2022602.

It is an unprimeable number.

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, 445169 + ... + 445631.

It is an arithmetic number, because the mean of its divisors is an integer number (5340060).

Almost surely, 2206220200 is an apocalyptic number.

206220200 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 206220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256322880).

206220200 is an abundant number, since it is smaller than the sum of its proper divisors (306425560).

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

206220200 is a wasteful number, since it uses less digits than its factorization.

206220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 206220200 is about 14360.3690760370. The cubic root of 206220200 is about 590.8044183970.

Adding to 206220200 its reverse (2022602), we get a palindrome (208242802).

The spelling of 206220200 in words is "two hundred six million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 131 136 170 200 262 340 425 463 524 655 680 850 926 1048 1310 1700 1852 2227 2315 2620 3275 3400 3704 4454 4630 5240 6550 7871 8908 9260 11135 11575 13100 15742 17816 18520 22270 23150 26200 31484 39355 44540 46300 55675 60653 62968 78710 89080 92600 111350 121306 157420 196775 222700 242612 303265 314840 393550 445400 485224 606530 787100 1031101 1213060 1516325 1574200 2062202 2426120 3032650 4124404 5155505 6065300 8248808 10311010 12130600 20622020 25777525 41244040 51555050 103110100 206220200