Base | Representation |
---|---|
bin | 11011100011110010100000 |
3 | 111121001010100 |
4 | 123203302200 |
5 | 3322140410 |
6 | 414502400 |
7 | 115256424 |
oct | 33436240 |
9 | 14531110 |
10 | 7224480 |
11 | 409494a |
12 | 2504a00 |
13 | 165c453 |
14 | d60b84 |
15 | 97a8c0 |
hex | 6e3ca0 |
7224480 has 144 divisors (see below), whose sum is σ = 25651080. Its totient is φ = 1849344.
The previous prime is 7224479. The next prime is 7224493. The reversal of 7224480 is 844227.
7224480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 6906384 + 318096 = 2628^2 + 564^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×72244802 = 104386222540800, which contains 22 as substring.
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 23 ways as a sum of consecutive naturals, for example, 41674 + ... + 41846.
Almost surely, 27224480 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 7224480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12825540).
7224480 is an abundant number, since it is smaller than the sum of its proper divisors (18426600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7224480 is a wasteful number, since it uses less digits than its factorization.
7224480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 223 (or 212 counting only the distinct ones).
The product of its (nonzero) digits is 3584, while the sum is 27.
The square root of 7224480 is about 2687.8392809095. The cubic root of 7224480 is about 193.3164736256.
The spelling of 7224480 in words is "seven million, two hundred twenty-four thousand, four hundred eighty".
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