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200575226500 = 225311230710799
BaseRepresentation
bin1011101011001100110…
…1110001001010000100
3201011201102200012220121
42322303031301022010
511241234224222000
6232050515111324
720330304203125
oct2726315611204
9634642605817
10200575226500
1178077539400
1232a582a2544
1315bb655299c
1499ca65a04c
15533dbebb1a
hex2eb3371284

200575226500 has 144 divisors (see below), whose sum is σ = 483113030400. Its totient is φ = 72692136000.

The previous prime is 200575226497. The next prime is 200575226519. The reversal of 200575226500 is 5622575002.

200575226500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18568101 + ... + 18578899.

It is an arithmetic number, because the mean of its divisors is an integer number (3354951600).

Almost surely, 2200575226500 is an apocalyptic number.

200575226500 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 200575226500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241556515200).

200575226500 is an abundant number, since it is smaller than the sum of its proper divisors (282537803900).

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

200575226500 is a wasteful number, since it uses less digits than its factorization.

200575226500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11147 (or 11124 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 34.

The spelling of 200575226500 in words is "two hundred billion, five hundred seventy-five million, two hundred twenty-six thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 125 220 242 250 275 307 484 500 550 605 614 1100 1210 1228 1375 1535 2420 2750 3025 3070 3377 5500 6050 6140 6754 7675 10799 12100 13508 15125 15350 16885 21598 30250 30700 33770 37147 38375 43196 53995 60500 67540 74294 76750 84425 107990 118789 148588 153500 168850 185735 215980 237578 269975 337700 371470 422125 475156 539950 593945 742940 844250 928675 1079900 1187890 1306679 1349875 1688500 1857350 2375780 2613358 2699750 2969725 3315293 3714700 4643375 5226716 5399500 5939450 6533395 6630586 9286750 11878900 13066790 13261172 14848625 16576465 18573500 26133580 29697250 32666975 33152930 36468223 59394500 65333950 66305860 72936446 82882325 130667900 145872892 163334875 165764650 182341115 326669750 331529300 364682230 401150453 414411625 653339500 729364460 802300906 828823250 911705575 1604601812 1657646500 1823411150 2005752265 3646822300 4011504530 4558527875 8023009060 9117055750 10028761325 18234111500 20057522650 40115045300 50143806625 100287613250 200575226500