| Base | Representation |
|---|---|
| bin | 11010100110111… |
| … | …11011111010000 |
| 3 | 120120000102101102 |
| 4 | 31103133133100 |
| 5 | 424120313040 |
| 6 | 34052123532 |
| 7 | 5350166165 |
| oct | 1523373720 |
| 9 | 516012342 |
| 10 | 223213520 |
| 11 | 104aa8692 |
| 12 | 629065a8 |
| 13 | 3732430a |
| 14 | 2190606c |
| 15 | 148e2515 |
| hex | d4df7d0 |
223213520 has 120 divisors (see below), whose sum is σ = 561258720. Its totient is φ = 82517760.
The previous prime is 223213517. The next prime is 223213531. The reversal of 223213520 is 25312322.
It is a super-3 number, since 3×2232135203 (a number of 26 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 223213492 and 223213501.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1703855 + ... + 1703985.
It is an arithmetic number, because the mean of its divisors is an integer number (4677156).
Almost surely, 2223213520 is an apocalyptic number.
223213520 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 223213520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280629360).
223213520 is an abundant number, since it is smaller than the sum of its proper divisors (338045200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223213520 is a wasteful number, since it uses less digits than its factorization.
223213520 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 241 (or 216 counting only the distinct ones).
The product of its (nonzero) digits is 720, while the sum is 20.
The square root of 223213520 is about 14940.3319909566. The cubic root of 223213520 is about 606.6061821651.
Adding to 223213520 its reverse (25312322), we get a palindrome (248525842).
The spelling of 223213520 in words is "two hundred twenty-three million, two hundred thirteen thousand, five hundred twenty".
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