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200551708900 = 225219223572
BaseRepresentation
bin1011101011000111010…
…0000011100011100100
3201011122210102101211101
42322301310003203210
511241212214141100
6232044315045444
720326600253524
oct2726164034344
9634583371741
10200551708900
1178065236274
1232a50440884
1315bb170a44a
1499c7497684
15533bb0386a
hex2eb1d038e4

200551708900 has 81 divisors (see below), whose sum is σ = 459502809339. Its totient is φ = 75966298560.

The previous prime is 200551708879. The next prime is 200551708921. The reversal of 200551708900 is 9807155002.

The square root of 200551708900 is 447830.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (200551708879) and next prime (200551708921).

It can be written as a sum of positive squares in 4 ways, for example, as 43887736036 + 156663972864 = 209494^2 + 395808^2 .

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 200551708900.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 85086522 + ... + 85088878.

Almost surely, 2200551708900 is an apocalyptic number.

200551708900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

200551708900 is the 447830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200551708900

200551708900 is an abundant number, since it is smaller than the sum of its proper divisors (258951100439).

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

200551708900 is an equidigital number, since it uses as much as digits as its factorization.

200551708900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4766 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 37.

The spelling of 200551708900 in words is "two hundred billion, five hundred fifty-one million, seven hundred eight thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 361 380 475 722 950 1444 1805 1900 2357 3610 4714 7220 9025 9428 11785 18050 23570 36100 44783 47140 58925 89566 117850 179132 223915 235700 447830 850877 895660 1119575 1701754 2239150 3403508 4254385 4478300 5555449 8508770 11110898 17017540 21271925 22221796 27777245 42543850 55554490 85087700 105553531 111108980 138886225 211107062 277772450 422214124 527767655 555544900 1055535310 2005517089 2111070620 2638838275 4011034178 5277676550 8022068356 10027585445 10555353100 20055170890 40110341780 50137927225 100275854450 200551708900