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2201020200 = 2332521222789
BaseRepresentation
bin1000001100110000…
…1110011100101000
312200101121102002200
42003030032130220
514001430121300
61002223300200
7105354235341
oct20314163450
95611542080
102201020200
11a2a467065
1251514a660
13290ccab22
1416c4650c8
15cd36e200
hex8330e728

2201020200 has 72 divisors (see below), whose sum is σ = 7391765550. Its totient is φ = 586938240.

The previous prime is 2201020189. The next prime is 2201020201. The reversal of 2201020200 is 20201022.

It can be written as a sum of positive squares in 3 ways, for example, as 2130560964 + 70459236 = 46158^2 + 8394^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2201020201) 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 17 ways as a sum of consecutive naturals, for example, 609595 + ... + 613194.

Almost surely, 22201020200 is an apocalyptic number.

2201020200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201020200 is an abundant number, since it is smaller than the sum of its proper divisors (5190745350).

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

2201020200 is a wasteful number, since it uses less digits than its factorization.

2201020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222811 (or 1222799 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2201020200 is about 46915.0317062666. The cubic root of 2201020200 is about 1300.7924556917.

Adding to 2201020200 its reverse (20201022), we get a palindrome (2221221222).

The spelling of 2201020200 in words is "two billion, two hundred one million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 1222789 2445578 3668367 4891156 6113945 7336734 9782312 11005101 12227890 14673468 18341835 22010202 24455780 29346936 30569725 36683670 44020404 48911560 55025505 61139450 73367340 88040808 91709175 110051010 122278900 146734680 183418350 220102020 244557800 275127525 366836700 440204040 550255050 733673400 1100510100 2201020200