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2212021220200 = 235211291012831213
BaseRepresentation
bin100000001100000110101…
…111010011001101101000
321211110121120011210110021
4200030012233103031220
5242220204413021300
64412104415330224
7315545643066211
oct40140657231550
97743546153407
102212021220200
11783127347710
122b8855520974
1313079223799c
14790c3314408
153c8169b4d1a
hex20306bd3368

2212021220200 has 384 divisors, whose sum is σ = 5886981244800. Its totient is φ = 765596160000.

The previous prime is 2212021220191. The next prime is 2212021220209. The reversal of 2212021220200 is 20221202122.

It is an interprime number because it is at equal distance from previous prime (2212021220191) and next prime (2212021220209).

It is not an unprimeable number, because it can be changed into a prime (2212021220209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1823594794 + ... + 1823596006.

It is an arithmetic number, because the mean of its divisors is an integer number (15330680325).

Almost surely, 22212021220200 is an apocalyptic number.

2212021220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212021220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943490622400).

2212021220200 is an abundant number, since it is smaller than the sum of its proper divisors (3674960024600).

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

2212021220200 is a wasteful number, since it uses less digits than its factorization.

2212021220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1644 counting only the distinct ones).

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

Adding to 2212021220200 its reverse (20221202122), we get a palindrome (2232242422322).

The spelling of 2212021220200 in words is "two trillion, two hundred twelve billion, twenty-one million, two hundred twenty thousand, two hundred".