Base | Representation |
---|---|
bin | 1100000000011110… |
… | …1100000110100000 |
3 | 22022122002121120202 |
4 | 3000013230012200 |
5 | 23100122203440 |
6 | 1251501124332 |
7 | 142606045301 |
oct | 30007540640 |
9 | 8278077522 |
10 | 3223241120 |
11 | 1404487840 |
12 | 75b5596a8 |
13 | 3c4a18288 |
14 | 2281187a8 |
15 | 13ce8e615 |
hex | c01ec1a0 |
3223241120 has 96 divisors (see below), whose sum is σ = 8575289856. Its totient is φ = 1134259200.
The previous prime is 3223241113. The next prime is 3223241201. The reversal of 3223241120 is 211423223.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 3223241092 and 3223241101.
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 15 ways as a sum of consecutive naturals, for example, 25022 + ... + 84098.
It is an arithmetic number, because the mean of its divisors is an integer number (89325936).
Almost surely, 23223241120 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 3223241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4287644928).
3223241120 is an abundant number, since it is smaller than the sum of its proper divisors (5352048736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3223241120 is a wasteful number, since it uses less digits than its factorization.
3223241120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 59134 (or 59126 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
The square root of 3223241120 is about 56773.5952710413. The cubic root of 3223241120 is about 1477.1715397181.
Adding to 3223241120 its reverse (211423223), we get a palindrome (3434664343).
The spelling of 3223241120 in words is "three billion, two hundred twenty-three million, two hundred forty-one thousand, one hundred twenty".
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