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2243311340320 = 255793674611049
BaseRepresentation
bin100000101001001111110…
…001101000101100100000
321221110101020001120221001
4200221033301220230200
5243223300200342240
64434321335241344
7321034226526211
oct40511761505440
97843336046831
102243311340320
11795423850016
12302928519254
1313370a988a6b
147a810c2b408
153d5489cb89a
hex20a4fc68b20

2243311340320 has 192 divisors, whose sum is σ = 5398348032000. Its totient is φ = 880794869760.

The previous prime is 2243311340293. The next prime is 2243311340321. The reversal of 2243311340320 is 230431133422.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2243311340321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2138523156 + ... + 2138524204.

It is an arithmetic number, because the mean of its divisors is an integer number (28116396000).

Almost surely, 22243311340320 is an apocalyptic number.

2243311340320 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 2243311340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699174016000).

2243311340320 is an abundant number, since it is smaller than the sum of its proper divisors (3155036691680).

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

2243311340320 is a wasteful number, since it uses less digits than its factorization.

2243311340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 2243311340320 its reverse (230431133422), we get a palindrome (2473742473742).

It can be divided in two parts, 224331 and 1340320, that added together give a palindrome (1564651).

The spelling of 2243311340320 in words is "two trillion, two hundred forty-three billion, three hundred eleven million, three hundred forty thousand, three hundred twenty".