Search a number
-
+
2221304512 = 26713935671
BaseRepresentation
bin1000010001100110…
…0110101011000000
312201210202221221111
42010121212223000
514022123221022
61004230133104
7106021530310
oct20431465300
95653687844
102221304512
11a3a960a59
1251bab1194
1329528078b
14171025440
15d0029477
hex84666ac0

2221304512 has 56 divisors (see below), whose sum is σ = 5073985280. Its totient is φ = 945112320.

The previous prime is 2221304461. The next prime is 2221304531. The reversal of 2221304512 is 2154031222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44437 + ... + 80107.

It is an arithmetic number, because the mean of its divisors is an integer number (90606880).

Almost surely, 22221304512 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 2221304512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536992640).

2221304512 is an abundant number, since it is smaller than the sum of its proper divisors (2852680768).

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

2221304512 is a wasteful number, since it uses less digits than its factorization.

2221304512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35829 (or 35819 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2221304512 is about 47130.7172871366. The cubic root of 2221304512 is about 1304.7762199533.

Adding to 2221304512 its reverse (2154031222), we get a palindrome (4375335734).

The spelling of 2221304512 in words is "two billion, two hundred twenty-one million, three hundred four thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 139 224 278 448 556 973 1112 1946 2224 3892 4448 7784 8896 15568 31136 35671 62272 71342 142684 249697 285368 499394 570736 998788 1141472 1997576 2282944 3995152 4958269 7990304 9916538 15980608 19833076 34707883 39666152 69415766 79332304 138831532 158664608 277663064 317329216 555326128 1110652256 2221304512