| Base | Representation |
|---|---|
| bin | 1100111111001011111… |
| … | …1101101101000000000 |
| 3 | 210022220121212111012000 |
| 4 | 3033302333231220000 |
| 5 | 12123422222322240 |
| 6 | 250255554304000 |
| 7 | 22056060505416 |
| oct | 3176277555000 |
| 9 | 708817774160 |
| 10 | 223120120320 |
| 11 | 86696544859 |
| 12 | 372aa588000 |
| 13 | 1806a247c46 |
| 14 | ab2891b2b6 |
| 15 | 5c0d0b0430 |
| hex | 33f2feda00 |
223120120320 has 640 divisors, whose sum is σ = 843213888000. Its totient is φ = 55728930816.
The previous prime is 223120120309. The next prime is 223120120367. The reversal of 223120120320 is 23021021322.
223120120320 is a `hidden beast` number, since 22 + 312 + 0 + 12 + 0 + 320 = 666.
It is a tau number, because it is divible by the number of its divisors (640).
It is a super-3 number, since 3×2231201203203 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 223120120293 and 223120120302.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 372487381 + ... + 372487979.
It is an arithmetic number, because the mean of its divisors is an integer number (1317521700).
Almost surely, 2223120120320 is an apocalyptic number.
223120120320 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 223120120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421606944000).
223120120320 is an abundant number, since it is smaller than the sum of its proper divisors (620093767680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223120120320 is a wasteful number, since it uses less digits than its factorization.
223120120320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 965 (or 943 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 223120120320 its reverse (23021021322), we get a palindrome (246141141642).
The spelling of 223120120320 in words is "two hundred twenty-three billion, one hundred twenty million, one hundred twenty thousand, three hundred twenty".
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