Base | Representation |
---|---|
bin | 11010100101100… |
… | …01000000010000 |
3 | 120112122202012120 |
4 | 31102301000100 |
5 | 424043214440 |
6 | 34044054240 |
7 | 5345444115 |
oct | 1522610020 |
9 | 515582176 |
10 | 223023120 |
11 | 104988631 |
12 | 62834380 |
13 | 37288758 |
14 | 2189690c |
15 | 148a5dd0 |
hex | d4b1010 |
223023120 has 80 divisors (see below), whose sum is σ = 695735232. Its totient is φ = 59097600.
The previous prime is 223023113. The next prime is 223023133. The reversal of 223023120 is 21320322.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 223023120.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36270 + ... + 41970.
Almost surely, 2223023120 is an apocalyptic number.
223023120 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 223023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347867616).
223023120 is an abundant number, since it is smaller than the sum of its proper divisors (472712112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223023120 is a wasteful number, since it uses less digits than its factorization.
223023120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5880 (or 5874 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
The square root of 223023120 is about 14933.9586178615. The cubic root of 223023120 is about 606.4336557692.
Adding to 223023120 its reverse (21320322), we get a palindrome (244343442).
The spelling of 223023120 in words is "two hundred twenty-three million, twenty-three thousand, one hundred twenty".
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