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201220220000 = 255443832819
BaseRepresentation
bin1011101101100110101…
…0001110010001100000
3201020101101100021122202
42323121222032101200
511244044334020000
6232234515352332
720352265435502
oct2733152162140
9636341307582
10201220220000
1178378628588
1232bb82b26a8
1315c8a072c47
149a4c195d72
15537a655dd5
hex2ed9a8e460

201220220000 has 240 divisors, whose sum is σ = 512829092160. Its totient is φ = 77641536000.

The previous prime is 201220219979. The next prime is 201220220021. The reversal of 201220220000 is 22022102.

It is an interprime number because it is at equal distance from previous prime (201220219979) and next prime (201220220021).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71378591 + ... + 71381409.

It is an arithmetic number, because the mean of its divisors is an integer number (2136787884).

Almost surely, 2201220220000 is an apocalyptic number.

201220220000 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 201220220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256414546080).

201220220000 is an abundant number, since it is smaller than the sum of its proper divisors (311608872160).

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

201220220000 is an equidigital number, since it uses as much as digits as its factorization.

201220220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975 (or 2952 counting only the distinct ones).

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

Adding to 201220220000 its reverse (22022102), we get a palindrome (201242242102).

The spelling of 201220220000 in words is "two hundred one billion, two hundred twenty million, two hundred twenty thousand".