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2210000212200 = 23352114117594643
BaseRepresentation
bin100000001010001110010…
…001110001000011101000
321211021101201021221200010
4200022032101301003220
5242202040023242300
64411132102211520
7315444602566464
oct40121621610350
97737351257603
102210000212200
1178228a561470
122b8390723ba0
1313052c616471
1478d70b4b4a4
153c749352a50
hex2028e4710e8

2210000212200 has 384 divisors, whose sum is σ = 7662109593600. Its totient is φ = 522280704000.

The previous prime is 2210000212127. The next prime is 2210000212229. The reversal of 2210000212200 is 22120000122.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 475983079 + ... + 475987721.

It is an arithmetic number, because the mean of its divisors is an integer number (19953410400).

Almost surely, 22210000212200 is an apocalyptic number.

2210000212200 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 2210000212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831054796800).

2210000212200 is an abundant number, since it is smaller than the sum of its proper divisors (5452109381400).

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

2210000212200 is a wasteful number, since it uses less digits than its factorization.

2210000212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6473 (or 6464 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2210000212200 its reverse (22120000122), we get a palindrome (2232120212322).

The spelling of 2210000212200 in words is "two trillion, two hundred ten billion, two hundred twelve thousand, two hundred".