Search a number
-
+
2243774104320 = 283572337472087
BaseRepresentation
bin100000101001101011010…
…110111100001100000000
321221111120110211102210110
4200221223112330030000
5243230222132314240
64434435310031320
7321051546126330
oct40515326741400
97844513742713
102243774104320
11795640a94501
12302a374a8540
13133782804408
147a85648d0c0
153d57443bc80
hex20a6b5bc300

2243774104320 has 1152 divisors, whose sum is σ = 8967857504256. Its totient is φ = 466926501888.

The previous prime is 2243774104303. The next prime is 2243774104321. The reversal of 2243774104320 is 234014773422.

It is not an unprimeable number, because it can be changed into a prime (2243774104321) 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 127 ways as a sum of consecutive naturals, for example, 1075118317 + ... + 1075120403.

It is an arithmetic number, because the mean of its divisors is an integer number (7784598528).

Almost surely, 22243774104320 is an apocalyptic number.

2243774104320 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 2243774104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483928752128).

2243774104320 is an abundant number, since it is smaller than the sum of its proper divisors (6724083399936).

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

2243774104320 is a wasteful number, since it uses less digits than its factorization.

2243774104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 39.

Adding to 2243774104320 its reverse (234014773422), we get a palindrome (2477788877742).

The spelling of 2243774104320 in words is "two trillion, two hundred forty-three billion, seven hundred seventy-four million, one hundred four thousand, three hundred twenty".