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2200201212200 = 23521934139119
BaseRepresentation
bin100000000001000110001…
…101100011000100101000
321210100002210202011201012
4200001012031203010220
5242022003002242300
64402431455443052
7314650015505405
oct40010615430450
97710083664635
102200201212200
11779111252762
122b64b6b26488
1312c62a473504
14786c158b2ac
153c373e4a435
hex20046363128

2200201212200 has 192 divisors, whose sum is σ = 5531458464000. Its totient is φ = 813404044800.

The previous prime is 2200201212197. The next prime is 2200201212239. The reversal of 2200201212200 is 22121020022.

It is a super-3 number, since 3×22002012122003 (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56224241 + ... + 56263359.

It is an arithmetic number, because the mean of its divisors is an integer number (28809679500).

Almost surely, 22200201212200 is an apocalyptic number.

2200201212200 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 2200201212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765729232000).

2200201212200 is an abundant number, since it is smaller than the sum of its proper divisors (3331257251800).

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

2200201212200 is a wasteful number, since it uses less digits than its factorization.

2200201212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39233 (or 39186 counting only the distinct ones).

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

Adding to 2200201212200 its reverse (22121020022), we get a palindrome (2222322232222).

The spelling of 2200201212200 in words is "two trillion, two hundred billion, two hundred one million, two hundred twelve thousand, two hundred".