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2213320200 = 2335272135791
BaseRepresentation
bin1000001111101100…
…1001011000001000
312201020202022112020
42003323021120020
514013102221300
61003343044440
7105563624400
oct20373113010
95636668466
102213320200
11a363a8253
125192a0720
13293716530
1416dd47800
15ce49d8a0
hex83ec9608

2213320200 has 288 divisors, whose sum is σ = 8596949760. Its totient is φ = 466905600.

The previous prime is 2213320189. The next prime is 2213320201. The reversal of 2213320200 is 20233122.

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 2213320200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213320201) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 379305 + ... + 385095.

It is an arithmetic number, because the mean of its divisors is an integer number (29850520).

Almost surely, 22213320200 is an apocalyptic number.

2213320200 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 2213320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298474880).

2213320200 is an abundant number, since it is smaller than the sum of its proper divisors (6383629560).

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

2213320200 is a wasteful number, since it uses less digits than its factorization.

2213320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5837 (or 5821 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2213320200 is about 47045.9371253246. The cubic root of 2213320200 is about 1303.2110364786.

Adding to 2213320200 its reverse (20233122), we get a palindrome (2233553322).

The spelling of 2213320200 in words is "two billion, two hundred thirteen million, three hundred twenty thousand, two hundred".