Search a number
-
+
244229824 = 2623831999
BaseRepresentation
bin11101000111010…
…10011011000000
3122000120011100001
432203222123000
51000010323244
640122405344
76023630206
oct1643523300
9560504301
10244229824
11115952533
1269960854
133b7a21b7
1424617076
15166945d4
hexe8ea6c0

244229824 has 56 divisors (see below), whose sum is σ = 512064000. Its totient is φ = 115340544.

The previous prime is 244229773. The next prime is 244229891. The reversal of 244229824 is 428922442.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121177 + ... + 123175.

It is an arithmetic number, because the mean of its divisors is an integer number (9144000).

Almost surely, 2244229824 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 244229824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256032000).

244229824 is an abundant number, since it is smaller than the sum of its proper divisors (267834176).

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

244229824 is a wasteful number, since it uses less digits than its factorization.

244229824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2107 counting only the distinct ones).

The product of its digits is 73728, while the sum is 37.

The square root of 244229824 is about 15627.8541073303. The cubic root of 244229824 is about 625.0761072119.

The spelling of 244229824 in words is "two hundred forty-four million, two hundred twenty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 83 92 166 184 332 368 664 736 1328 1472 1909 1999 2656 3818 3998 5312 7636 7996 15272 15992 30544 31984 45977 61088 63968 91954 122176 127936 165917 183908 331834 367816 663668 735632 1327336 1471264 2654672 2942528 3816091 5309344 7632182 10618688 15264364 30528728 61057456 122114912 244229824