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200200202222020 = 22571113311013193871
BaseRepresentation
bin101101100001010010111101…
…111011111111100111000100
3222020211221201022102200112021
4231201102331323333213010
5202220040003232101040
61545442411521532524
760111662433162220
oct5541227573774704
9866757638380467
10200200202222020
1158876479a44990
121a5541827a4144
138792a4b462850
143761a54905780
151822a0015b24a
hexb614bdeff9c4

200200202222020 has 384 divisors, whose sum is σ = 588459009245184. Its totient is φ = 55190073600000.

The previous prime is 200200202221993. The next prime is 200200202222099. The reversal of 200200202222020 is 20222202002002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 200200202221985 and 200200202222003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61085685 + ... + 64279555.

It is an arithmetic number, because the mean of its divisors is an integer number (1532445336576).

Almost surely, 2200200202222020 is an apocalyptic number.

200200202222020 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 200200202222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294229504622592).

200200202222020 is an abundant number, since it is smaller than the sum of its proper divisors (388258807023164).

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

200200202222020 is a wasteful number, since it uses less digits than its factorization.

200200202222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3194043 (or 3194041 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 200200202222020 its reverse (20222202002002), we get a palindrome (220422404224022).

The spelling of 200200202222020 in words is "two hundred trillion, two hundred billion, two hundred two million, two hundred twenty-two thousand, twenty".