Base | Representation |
---|---|
bin | 1000010100011111… |
… | …0011001000000000 |
3 | 12202122120012020101 |
4 | 2011013303020000 |
5 | 14033223223034 |
6 | 1005341452144 |
7 | 106226464333 |
oct | 20507631000 |
9 | 5678505211 |
10 | 2233414144 |
11 | a46782115 |
12 | 523b71054 |
13 | 297930640 |
14 | 17289861a |
15 | d111c514 |
hex | 851f3200 |
2233414144 has 80 divisors (see below), whose sum is σ = 4824566208. Its totient is φ = 1026772992.
The previous prime is 2233414097. The next prime is 2233414171. The reversal of 2233414144 is 4414143322.
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 7 ways as a sum of consecutive naturals, for example, 2309149 + ... + 2310115.
Almost surely, 22233414144 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 2233414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412283104).
2233414144 is an abundant number, since it is smaller than the sum of its proper divisors (2591152064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2233414144 is an equidigital number, since it uses as much as digits as its factorization.
2233414144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1345 (or 1329 counting only the distinct ones).
The product of its digits is 9216, while the sum is 28.
The square root of 2233414144 is about 47259.0112465337. The cubic root of 2233414144 is about 1307.1429574698.
Adding to 2233414144 its reverse (4414143322), we get a palindrome (6647557466).
The spelling of 2233414144 in words is "two billion, two hundred thirty-three million, four hundred fourteen thousand, one hundred forty-four".
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