Search a number
-
+
3220005440 = 26527133709
BaseRepresentation
bin1011111111101101…
…0110001001000000
322022102000020001202
42333323112021000
523043310133230
61251303520332
7142536410651
oct27773261100
98272006052
103220005440
111402677823
1275a4590a8
133c4154582
14227915528
1513ca50a45
hexbfed6240

3220005440 has 56 divisors (see below), whose sum is σ = 7672532280. Its totient is φ = 1287180288.

The previous prime is 3220005337. The next prime is 3220005511. The reversal of 3220005440 is 445000223.

It can be written as a sum of positive squares in 4 ways, for example, as 835441216 + 2384564224 = 28904^2 + 48832^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 866306 + ... + 870014.

It is an arithmetic number, because the mean of its divisors is an integer number (137009505).

Almost surely, 23220005440 is an apocalyptic number.

It is an amenable number.

3220005440 is an abundant number, since it is smaller than the sum of its proper divisors (4452526840).

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

3220005440 is a wasteful number, since it uses less digits than its factorization.

3220005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6439 (or 6429 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 3220005440 is about 56745.0917701258. The cubic root of 3220005440 is about 1476.6770835182.

Adding to 3220005440 its reverse (445000223), we get a palindrome (3665005663).

The spelling of 3220005440 in words is "three billion, two hundred twenty million, five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 2713 3709 5426 7418 10852 13565 14836 18545 21704 27130 29672 37090 43408 54260 59344 74180 86816 108520 118688 148360 173632 217040 237376 296720 434080 593440 868160 1186880 10062517 20125034 40250068 50312585 80500136 100625170 161000272 201250340 322000544 402500680 644001088 805001360 1610002720 3220005440