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2243263344 = 243711359083
BaseRepresentation
bin1000010110110101…
…0111101101110000
312210100002120210120
42011231113231300
514043233411334
61010332530240
7106406265240
oct20555275560
95710076716
102243263344
11a51299a53
12527320980
1329999b67a
14173cddb20
15d1e15949
hex85b57b70

2243263344 has 80 divisors (see below), whose sum is σ = 6681691392. Its totient is φ = 635249664.

The previous prime is 2243263331. The next prime is 2243263369. The reversal of 2243263344 is 4433623422.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8427 + ... + 67509.

Almost surely, 22243263344 is an apocalyptic number.

2243263344 is a gapful number since it is divisible by the number (24) 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 2243263344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340845696).

2243263344 is an abundant number, since it is smaller than the sum of its proper divisors (4438428048).

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

2243263344 is a wasteful number, since it uses less digits than its factorization.

2243263344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59214 (or 59208 counting only the distinct ones).

The product of its digits is 82944, while the sum is 33.

The square root of 2243263344 is about 47363.1010809047. The cubic root of 2243263344 is about 1309.0616094943.

Adding to 2243263344 its reverse (4433623422), we get a palindrome (6676886766).

The spelling of 2243263344 in words is "two billion, two hundred forty-three million, two hundred sixty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 113 168 226 336 339 452 678 791 904 1356 1582 1808 2373 2712 3164 4746 5424 6328 9492 12656 18984 37968 59083 118166 177249 236332 354498 413581 472664 708996 827162 945328 1240743 1417992 1654324 2481486 2835984 3308648 4962972 6617296 6676379 9925944 13352758 19851888 20029137 26705516 40058274 46734653 53411032 80116548 93469306 106822064 140203959 160233096 186938612 280407918 320466192 373877224 560815836 747754448 1121631672 2243263344