Search a number
-
+
3220130144 = 257116072153
BaseRepresentation
bin1011111111101111…
…0100100101100000
322022102020120010102
42333323310211200
523043323131034
61251310321532
7142540440350
oct27773644540
98272216112
103220130144
111402752490
1275a4b92a8
133c419926a
14227948b60
1513ca7797e
hexbfef4960

3220130144 has 96 divisors (see below), whose sum is σ = 7920654336. Its totient is φ = 1251947520.

The previous prime is 3220130117. The next prime is 3220130149. The reversal of 3220130144 is 4410310223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3220130149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1494572 + ... + 1496724.

It is an arithmetic number, because the mean of its divisors is an integer number (82506816).

Almost surely, 23220130144 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 3220130144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3960327168).

3220130144 is an abundant number, since it is smaller than the sum of its proper divisors (4700524192).

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

3220130144 is a wasteful number, since it uses less digits than its factorization.

3220130144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3220130144 is about 56746.1905681782. The cubic root of 3220130144 is about 1476.6961461321.

Adding to 3220130144 its reverse (4410310223), we get a palindrome (7630440367).

The spelling of 3220130144 in words is "three billion, two hundred twenty million, one hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 607 616 1214 1232 2153 2428 2464 4249 4306 4856 6677 8498 8612 9712 13354 15071 16996 17224 19424 23683 26708 30142 33992 34448 46739 47366 53416 60284 67984 68896 93478 94732 106832 120568 135968 165781 186956 189464 213664 241136 331562 373912 378928 482272 663124 747824 757856 1306871 1326248 1495648 2613742 2652496 5227484 5304992 9148097 10454968 14375581 18296194 20909936 28751162 36592388 41819872 57502324 73184776 100629067 115004648 146369552 201258134 230009296 292739104 402516268 460018592 805032536 1610065072 3220130144