Base | Representation |
---|---|
bin | 11010101000101… |
… | …11001000100000 |
3 | 120120110000000220 |
4 | 31110113020200 |
5 | 424200111230 |
6 | 34101043040 |
7 | 5352135525 |
oct | 1524271040 |
9 | 516400026 |
10 | 223441440 |
11 | 105143952 |
12 | 629b6480 |
13 | 373a3c91 |
14 | 2196514c |
15 | 14939d10 |
hex | d517220 |
223441440 has 96 divisors (see below), whose sum is σ = 711244800. Its totient is φ = 58957824.
The previous prime is 223441417. The next prime is 223441453. The reversal of 223441440 is 44144322.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 223441440.
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, 44161 + ... + 48959.
It is an arithmetic number, because the mean of its divisors is an integer number (7408800).
Almost surely, 2223441440 is an apocalyptic number.
223441440 is a gapful number since it is divisible by the number (20) 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 223441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355622400).
223441440 is an abundant number, since it is smaller than the sum of its proper divisors (487803360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223441440 is a wasteful number, since it uses less digits than its factorization.
223441440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4914 (or 4906 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 24.
The square root of 223441440 is about 14947.9577200365. The cubic root of 223441440 is about 606.8125774439.
Adding to 223441440 its reverse (44144322), we get a palindrome (267585762).
The spelling of 223441440 in words is "two hundred twenty-three million, four hundred forty-one thousand, four hundred forty".
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