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2200001000200 = 23522331113311439
BaseRepresentation
bin100000000000111010010…
…001110011001100001000
321210022120212000100110221
4200000322101303030020
5242021100224001300
64402355544315424
7314642034646063
oct40007221631410
97708525010427
102200001000200
117790192354a3
122b645ba72b74
1312c5c7b43883
14786a2b518da
153c36159d31a
hex2003a473308

2200001000200 has 384 divisors, whose sum is σ = 5588899430400. Its totient is φ = 802948608000.

The previous prime is 2200001000173. The next prime is 2200001000207. The reversal of 2200001000200 is 20001000022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2200001000207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5011391581 + ... + 5011392019.

It is an arithmetic number, because the mean of its divisors is an integer number (14554425600).

Almost surely, 22200001000200 is an apocalyptic number.

2200001000200 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 2200001000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794449715200).

2200001000200 is an abundant number, since it is smaller than the sum of its proper divisors (3388898430200).

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

2200001000200 is a wasteful number, since it uses less digits than its factorization.

2200001000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 2200001000200 its reverse (20001000022), we get a palindrome (2220002000222).

The spelling of 2200001000200 in words is "two trillion, two hundred billion, one million, two hundred", and thus it is an aban number.