Base | Representation |
---|---|
bin | 1100000000011011… |
… | …0110101000100000 |
3 | 22022121200111011100 |
4 | 3000012312220200 |
5 | 23100043201422 |
6 | 1251452314400 |
7 | 142604143632 |
oct | 30006665040 |
9 | 8277614140 |
10 | 3223022112 |
11 | 1404348242 |
12 | 75b472a00 |
13 | 3c496c69b |
14 | 22809ca52 |
15 | 13ce497ac |
hex | c01b6a20 |
3223022112 has 144 divisors (see below), whose sum is σ = 9760914072. Its totient is φ = 1005281280.
The previous prime is 3223022093. The next prime is 3223022113. The reversal of 3223022112 is 2112203223.
It can be written as a sum of positive squares in 4 ways, for example, as 1259114256 + 1963907856 = 35484^2 + 44316^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (3223022113) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 884358 + ... + 887994.
Almost surely, 23223022112 is an apocalyptic number.
3223022112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3223022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4880457036).
3223022112 is an abundant number, since it is smaller than the sum of its proper divisors (6537891960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3223022112 is a wasteful number, since it uses less digits than its factorization.
3223022112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3851 (or 3840 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 3223022112 is about 56771.6664543150. Note that the first 3 decimals coincide. The cubic root of 3223022112 is about 1477.1380827411.
Adding to 3223022112 its reverse (2112203223), we get a palindrome (5335225335).
The spelling of 3223022112 in words is "three billion, two hundred twenty-three million, twenty-two thousand, one hundred twelve".
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