Base | Representation |
---|---|
bin | 111111110111110… |
… | …1011001110000000 |
3 | 12112100211001111020 |
4 | 1333233223032000 |
5 | 13342130013344 |
6 | 552400145440 |
7 | 104052635550 |
oct | 17757531600 |
9 | 5470731436 |
10 | 2143204224 |
11 | 9aa868067 |
12 | 4b9908280 |
13 | 282036ca5 |
14 | 1648d5160 |
15 | c824d719 |
hex | 7fbeb380 |
2143204224 has 128 divisors (see below), whose sum is σ = 6570170880. Its totient is φ = 606320640.
The previous prime is 2143204201. The next prime is 2143204289. The reversal of 2143204224 is 4224023412.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 2143204194 and 2143204203.
It is a congruent number.
It is an unprimeable number.
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, 272994 + ... + 280734.
It is an arithmetic number, because the mean of its divisors is an integer number (51329460).
Almost surely, 22143204224 is an apocalyptic number.
2143204224 is a gapful number since it is divisible by the number (24) 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 2143204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285085440).
2143204224 is an abundant number, since it is smaller than the sum of its proper divisors (4426966656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2143204224 is a wasteful number, since it uses less digits than its factorization.
2143204224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7868 (or 7856 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 24.
The square root of 2143204224 is about 46294.7537416498. The cubic root of 2143204224 is about 1289.3015917824.
Adding to 2143204224 its reverse (4224023412), we get a palindrome (6367227636).
The spelling of 2143204224 in words is "two billion, one hundred forty-three million, two hundred four thousand, two hundred twenty-four".
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