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2201200200200 = 235273150767137
BaseRepresentation
bin100000000010000001110…
…000011000101000001000
321210102200102112000121202
4200002001300120220020
5242031024222401300
64403114543323332
7315013535663021
oct40020160305010
97712612460552
102201200200200
11779584145181
122b67355b0548
1312c759417b81
1478778113c48
153c3d19cbad5
hex20081c18a08

2201200200200 has 48 divisors (see below), whose sum is σ = 5187897218580. Its totient is φ = 868418703360.

The previous prime is 2201200200181. The next prime is 2201200200209. The reversal of 2201200200200 is 20020021022.

It can be written as a sum of positive squares in 6 ways, for example, as 740539418116 + 1460660782084 = 860546^2 + 1208578^2 .

It is not an unprimeable number, because it can be changed into a prime (2201200200209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75368969 + ... + 75398168.

Almost surely, 22201200200200 is an apocalyptic number.

2201200200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201200200200 is an abundant number, since it is smaller than the sum of its proper divisors (2986697018380).

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

2201200200200 is a wasteful number, since it uses less digits than its factorization.

2201200200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150767226 (or 150767217 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2201200200200 its reverse (20020021022), we get a palindrome (2221220221222).

The spelling of 2201200200200 in words is "two trillion, two hundred one billion, two hundred million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1460 1825 2920 3650 7300 14600 150767137 301534274 603068548 753835685 1206137096 1507671370 3015342740 3769178425 6030685480 7538356850 11006001001 15076713700 22012002002 30153427400 44024004004 55030005005 88048008008 110060010010 220120020020 275150025025 440240040040 550300050050 1100600100100 2201200200200