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2200220221200 = 2435229712813169
BaseRepresentation
bin100000000001000111010…
…110000011111100010000
321210100011010111221011020
4200001013112003330100
5242022022334034300
64402433415115440
7314650336206261
oct40010726037420
97710133457136
102200220221200
11779120a56481
122b6501372b80
1312c63139a841
14786c3cd8968
153c3759528a0
hex20047583f10

2200220221200 has 480 divisors, whose sum is σ = 7422419577600. Its totient is φ = 556351488000.

The previous prime is 2200220221183. The next prime is 2200220221267. The reversal of 2200220221200 is 21220220022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2200220221200.

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, 694293216 + ... + 694296384.

It is an arithmetic number, because the mean of its divisors is an integer number (15463374120).

Almost surely, 22200220221200 is an apocalyptic number.

2200220221200 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 2200220221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3711209788800).

2200220221200 is an abundant number, since it is smaller than the sum of its proper divisors (5222199356400).

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

2200220221200 is a wasteful number, since it uses less digits than its factorization.

2200220221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3571 (or 3560 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 2200220221200 its reverse (21220220022), we get a palindrome (2221440441222).

The spelling of 2200220221200 in words is "two trillion, two hundred billion, two hundred twenty million, two hundred twenty-one thousand, two hundred".