Search a number
-
+
2243939568 = 2431331311489
BaseRepresentation
bin1000010110111111…
…1100110011110000
312210101100221101220
42011233330303300
514043422031233
61010355225040
7106415112603
oct20557746360
95711327356
102243939568
11a51711012
125275a8180
13299b773c0
1417403833a
15d1eeaeb3
hex85bfccf0

2243939568 has 80 divisors (see below), whose sum is σ = 6263244960. Its totient is φ = 688177152.

The previous prime is 2243939567. The next prime is 2243939573. The reversal of 2243939568 is 8659393422.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2243939568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243939561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189568 + ... + 201056.

It is an arithmetic number, because the mean of its divisors is an integer number (78290562).

Almost surely, 22243939568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2243939568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131622480).

2243939568 is an abundant number, since it is smaller than the sum of its proper divisors (4019305392).

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

2243939568 is a wasteful number, since it uses less digits than its factorization.

2243939568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11826 (or 11820 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 51.

The square root of 2243939568 is about 47370.2392647536. The cubic root of 2243939568 is about 1309.1931336489.

The spelling of 2243939568 in words is "two billion, two hundred forty-three million, nine hundred thirty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 313 624 626 939 1252 1878 2504 3756 4069 5008 7512 8138 11489 12207 15024 16276 22978 24414 32552 34467 45956 48828 65104 68934 91912 97656 137868 149357 183824 195312 275736 298714 448071 551472 597428 896142 1194856 1792284 2389712 3584568 3596057 7169136 7192114 10788171 14384228 21576342 28768456 43152684 46748741 57536912 86305368 93497482 140246223 172610736 186994964 280492446 373989928 560984892 747979856 1121969784 2243939568