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200211220000220 = 22511213313749911119
BaseRepresentation
bin101101100001011101001110…
…101001011110110111011100
3222020220000011011022210212112
4231201131032221132313130
5202220230034310001340
61545451433103053152
760112532446561442
oct5541351651366734
9866800134283775
10200211220000220
1158880113215800
121a5563385a11b8
138793ab5c73230
1437623bbcc2b92
151822e4755d065
hexb6174ea5eddc

200211220000220 has 576 divisors, whose sum is σ = 528734115840000. Its totient is φ = 63145686067200.

The previous prime is 200211220000213. The next prime is 200211220000223. The reversal of 200211220000220 is 22000022112002.

It is a super-3 number, since 3×2002112200002203 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 200211220000195 and 200211220000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200211220000223) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18006219821 + ... + 18006230939.

Almost surely, 2200211220000220 is an apocalyptic number.

200211220000220 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 200211220000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264367057920000).

200211220000220 is an abundant number, since it is smaller than the sum of its proper divisors (328522895839780).

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

200211220000220 is a wasteful number, since it uses less digits than its factorization.

200211220000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11730 (or 11717 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 200211220000220 its reverse (22000022112002), we get a palindrome (222211242112222).

The spelling of 200211220000220 in words is "two hundred trillion, two hundred eleven billion, two hundred twenty million, two hundred twenty", and thus it is an aban number.