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2202120000200 = 2352175973150379
BaseRepresentation
bin100000000010111000100…
…101001001001011001000
321210112001112021201000102
4200002320211021023020
5242034420210001300
64403350122024532
7315045405105461
oct40027045111310
97715045251012
102202120000200
11779a0637056a
122b6951648148
1312c874b54923
1478824345d68
153c43761a0d5
hex200b89492c8

2202120000200 has 192 divisors, whose sum is σ = 5588541864000. Its totient is φ = 803812515840.

The previous prime is 2202120000109. The next prime is 2202120000203. The reversal of 2202120000200 is 20000212022.

It is not an unprimeable number, because it can be changed into a prime (2202120000203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14568611 + ... + 14718989.

It is an arithmetic number, because the mean of its divisors is an integer number (29106988875).

Almost surely, 22202120000200 is an apocalyptic number.

2202120000200 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 2202120000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794270932000).

2202120000200 is an abundant number, since it is smaller than the sum of its proper divisors (3386421863800).

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

2202120000200 is a wasteful number, since it uses less digits than its factorization.

2202120000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150544 (or 150535 counting only the distinct ones).

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

Adding to 2202120000200 its reverse (20000212022), we get a palindrome (2222120212222).

The spelling of 2202120000200 in words is "two trillion, two hundred two billion, one hundred twenty million, two hundred", and thus it is an aban number.