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2243064320 = 29571737199
BaseRepresentation
bin1000010110110010…
…0111001000000000
312210022201110210022
42011230213020000
514043211024240
61010324353012
7106404506060
oct20554471000
95708643708
102243064320
11a51173472
12527245768
1329992bbc3
14173c8b3a0
15d1dc69b5
hex85b27200

2243064320 has 320 divisors, whose sum is σ = 6717427200. Its totient is φ = 700710912.

The previous prime is 2243064319. The next prime is 2243064359. The reversal of 2243064320 is 234603422.

It is a Cunningham number, because it is equal to 473612-1.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 2243064320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11271581 + ... + 11271779.

It is an arithmetic number, because the mean of its divisors is an integer number (20991960).

Almost surely, 22243064320 is an apocalyptic number.

2243064320 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 2243064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3358713600).

2243064320 is an abundant number, since it is smaller than the sum of its proper divisors (4474362880).

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

2243064320 is a wasteful number, since it uses less digits than its factorization.

2243064320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 2243064320 is about 47360.9999894428. Note that the first 4 decimals coincide. The cubic root of 2243064320 is about 1309.0228947080.

Adding to 2243064320 its reverse (234603422), we get a palindrome (2477667742).

The spelling of 2243064320 in words is "two billion, two hundred forty-three million, sixty-four thousand, three hundred twenty".