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2112202220200 = 235270457149893
BaseRepresentation
bin11110101111001001000…
…100000010001010101000
321110220222000010012112021
4132233021010002022220
5234101242232021300
64254155435554224
7305413224432412
oct36571104021250
97426860105467
102112202220200
117448640a7596
122a14382bb974
1312424508c347
147433432b9b2
1539e235ced1a
hex1ebc91022a8

2112202220200 has 48 divisors (see below), whose sum is σ = 4910972625180. Its totient is φ = 844863260160.

The previous prime is 2112202220153. The next prime is 2112202220201. The reversal of 2112202220200 is 20222022112.

It can be written as a sum of positive squares in 6 ways, for example, as 531263138884 + 1580939081316 = 728878^2 + 1257354^2 .

It is a super-2 number, since 2×21122022202002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112202220201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14016454 + ... + 14166346.

Almost surely, 22112202220200 is an apocalyptic number.

2112202220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112202220200 is an abundant number, since it is smaller than the sum of its proper divisors (2798770404980).

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

2112202220200 is a wasteful number, since it uses less digits than its factorization.

2112202220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220366 (or 220357 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2112202220200 its reverse (20222022112), we get a palindrome (2132424242312).

It can be divided in two parts, 21 and 12202220200, that added together give a palindrome (12202220221).

The spelling of 2112202220200 in words is "two trillion, one hundred twelve billion, two hundred two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 70457 140914 149893 281828 299786 352285 563656 599572 704570 749465 1199144 1409140 1498930 1761425 2818280 2997860 3522850 3747325 5995720 7045700 7494650 14091400 14989300 29978600 10561011101 21122022202 42244044404 52805055505 84488088808 105610111010 211220222020 264025277525 422440444040 528050555050 1056101110100 2112202220200