| Base | Representation |
|---|---|
| bin | 11010100111001… |
| … | …01111110111000 |
| 3 | 120120001202212121 |
| 4 | 31103211332320 |
| 5 | 424122140440 |
| 6 | 34052451024 |
| 7 | 5350336555 |
| oct | 1523457670 |
| 9 | 516052777 |
| 10 | 223240120 |
| 11 | 105016674 |
| 12 | 62919a74 |
| 13 | 3733345c |
| 14 | 21911a2c |
| 15 | 148ea34a |
| hex | d4e5fb8 |
223240120 has 64 divisors (see below), whose sum is σ = 535248000. Its totient is φ = 83553408.
The previous prime is 223240109. The next prime is 223240163. The reversal of 223240120 is 21042322.
It is a super-3 number, since 3×2232401203 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 223240094 and 223240103.
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 15 ways as a sum of consecutive naturals, for example, 61311 + ... + 64849.
It is an arithmetic number, because the mean of its divisors is an integer number (8363250).
Almost surely, 2223240120 is an apocalyptic number.
223240120 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 223240120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267624000).
223240120 is an abundant number, since it is smaller than the sum of its proper divisors (312007880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223240120 is a wasteful number, since it uses less digits than its factorization.
223240120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3652 (or 3648 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 16.
The square root of 223240120 is about 14941.2221722321. Note that the first 3 decimals coincide. The cubic root of 223240120 is about 606.6302773058.
Adding to 223240120 its reverse (21042322), we get a palindrome (244282442).
The spelling of 223240120 in words is "two hundred twenty-three million, two hundred forty thousand, one hundred twenty".
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