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2002201220200 = 235222013454777
BaseRepresentation
bin11101001000101100011…
…111100001010001101000
321002102000211211102102011
4131020230133201101220
5230301002003021300
64131444252445304
7264440261365456
oct35105437412150
97072024742364
102002201220200
11702146434135
12284059179834
13116a6460222c
146cc9ad679d6
153713638aeba
hex1d22c7e1468

2002201220200 has 48 divisors (see below), whose sum is σ = 4655339544780. Its totient is φ = 800842344960.

The previous prime is 2002201220017. The next prime is 2002201220209. The reversal of 2002201220200 is 20221022002.

It can be written as a sum of positive squares in 6 ways, for example, as 1171299694756 + 830901525444 = 1082266^2 + 911538^2 .

It is not an unprimeable number, because it can be changed into a prime (2002201220209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4175212 + ... + 4629988.

Almost surely, 22002201220200 is an apocalyptic number.

2002201220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002201220200 is an abundant number, since it is smaller than the sum of its proper divisors (2653138324580).

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

2002201220200 is a wasteful number, since it uses less digits than its factorization.

2002201220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476806 (or 476797 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 2002201220200 its reverse (20221022002), we get a palindrome (2022422242202).

The spelling of 2002201220200 in words is "two trillion, two billion, two hundred one million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 22013 44026 88052 110065 176104 220130 440260 454777 550325 880520 909554 1100650 1819108 2201300 2273885 3638216 4402600 4547770 9095540 11369425 18191080 22738850 45477700 90955400 10011006101 20022012202 40044024404 50055030505 80088048808 100110061010 200220122020 250275152525 400440244040 500550305050 1001100610100 2002201220200