Search a number
-
+
2244500352 = 27322238737
BaseRepresentation
bin1000010111001000…
…0101101110000000
312210102102102122200
42011302011232000
514044043002402
61010415233200
7106422636543
oct20562055600
95712372580
102244500352
11a51a64376
12527818800
1329a012723
1417414285a
15d20ac21c
hex85c85b80

2244500352 has 96 divisors (see below), whose sum is σ = 6488489280. Its totient is φ = 744726528.

The previous prime is 2244500341. The next prime is 2244500353. The reversal of 2244500352 is 2530054422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244500353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 252528 + ... + 261264.

It is an arithmetic number, because the mean of its divisors is an integer number (67588430).

Almost surely, 22244500352 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 2244500352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3244244640).

2244500352 is an abundant number, since it is smaller than the sum of its proper divisors (4243988928).

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

2244500352 is a wasteful number, since it uses less digits than its factorization.

2244500352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8980 (or 8965 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2244500352 is about 47376.1580544476. The cubic root of 2244500352 is about 1309.3021849237.

Adding to 2244500352 its reverse (2530054422), we get a palindrome (4774554774).

The spelling of 2244500352 in words is "two billion, two hundred forty-four million, five hundred thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 223 288 384 446 576 669 892 1152 1338 1784 2007 2676 3568 4014 5352 7136 8028 8737 10704 14272 16056 17474 21408 26211 28544 32112 34948 42816 52422 64224 69896 78633 85632 104844 128448 139792 157266 209688 256896 279584 314532 419376 559168 629064 838752 1118336 1258128 1677504 1948351 2516256 3355008 3896702 5032512 5845053 7793404 10065024 11690106 15586808 17535159 23380212 31173616 35070318 46760424 62347232 70140636 93520848 124694464 140281272 187041696 249388928 280562544 374083392 561125088 748166784 1122250176 2244500352