Search a number
-
+
2250318456 = 2333411032467
BaseRepresentation
bin1000011000100001…
…0010001001111000
312210211101000121000
42012020102021320
514102040142311
61011144045000
7106523251131
oct20610221170
95724330530
102250318456
11a55278621
12529763760
1329b29b9a9
14174c18c88
15d285b056
hex86212278

2250318456 has 128 divisors (see below), whose sum is σ = 6468134400. Its totient is φ = 724412160.

The previous prime is 2250318403. The next prime is 2250318463. The reversal of 2250318456 is 6548130522.

2250318456 is a `hidden beast` number, since 22 + 503 + 1 + 84 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2250318456.

It is a congruent number.

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, 910935 + ... + 913401.

It is an arithmetic number, because the mean of its divisors is an integer number (50532300).

Almost surely, 22250318456 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 2250318456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234067200).

2250318456 is an abundant number, since it is smaller than the sum of its proper divisors (4217815944).

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

2250318456 is a wasteful number, since it uses less digits than its factorization.

2250318456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2250318456 is about 47437.5216047382. The cubic root of 2250318456 is about 1310.4325157303.

Adding to 2250318456 its reverse (6548130522), we get a palindrome (8798448978).

The spelling of 2250318456 in words is "two billion, two hundred fifty million, three hundred eighteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 103 108 123 164 206 216 246 309 328 369 412 492 618 738 824 927 984 1107 1236 1476 1854 2214 2467 2472 2781 2952 3708 4223 4428 4934 5562 7401 7416 8446 8856 9868 11124 12669 14802 16892 19736 22203 22248 25338 29604 33784 38007 44406 50676 59208 66609 76014 88812 101147 101352 114021 133218 152028 177624 202294 228042 254101 266436 303441 304056 404588 456084 508202 532872 606882 762303 809176 910323 912168 1016404 1213764 1524606 1820646 2032808 2286909 2427528 2730969 3049212 3641292 4573818 5461938 6098424 6860727 7282584 9147636 10418141 10923876 13721454 18295272 20836282 21847752 27442908 31254423 41672564 54885816 62508846 83345128 93763269 125017692 187526538 250035384 281289807 375053076 562579614 750106152 1125159228 2250318456