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200200220200020 = 223567101990149801
BaseRepresentation
bin101101100001010010111111…
…000000100100110001010100
3222020211221202120021001201010
4231201102333000210301110
5202220040022332400040
61545442413403132220
760111663042040215
oct5541227700446124
9866757676231633
10200200220200020
1158876489104037
121a554188814070
138792a520b8811
143761a5706540c
151822a01a0ce80
hexb614bf024c54

200200220200020 has 192 divisors, whose sum is σ = 574629704232192. Its totient is φ = 52062912000000.

The previous prime is 200200220199997. The next prime is 200200220200061. The reversal of 200200220200020 is 20002022002002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 200200220199969 and 200200220200005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4019979120 + ... + 4020028920.

It is an arithmetic number, because the mean of its divisors is an integer number (2992863042876).

Almost surely, 2200200220200020 is an apocalyptic number.

200200220200020 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 200200220200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287314852116096).

200200220200020 is an abundant number, since it is smaller than the sum of its proper divisors (374429484032172).

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

200200220200020 is a wasteful number, since it uses less digits than its factorization.

200200220200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59882 (or 59880 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 200200220200020 its reverse (20002022002002), we get a palindrome (220202242202022).

The spelling of 200200220200020 in words is "two hundred trillion, two hundred billion, two hundred twenty million, two hundred thousand, twenty".