| Base | Representation |
|---|---|
| bin | 11010100110111… |
| … | …10101000010000 |
| 3 | 120120000020120001 |
| 4 | 31103132220100 |
| 5 | 424120210000 |
| 6 | 34052055344 |
| 7 | 5350153006 |
| oct | 1523365020 |
| 9 | 516006501 |
| 10 | 223210000 |
| 11 | 104aa5a82 |
| 12 | 62904554 |
| 13 | 37322830 |
| 14 | 21904a76 |
| 15 | 148e146a |
| hex | d4dea10 |
223210000 has 200 divisors, whose sum is σ = 622319544. Its totient is φ = 76800000.
The previous prime is 223209923. The next prime is 223210007. The reversal of 223210000 is 12322.
It can be written as a sum of positive squares in 20 ways, for example, as 196336144 + 26873856 = 14012^2 + 5184^2 .
It is a tau number, because it is divible by the number of its divisors (200).
It is a super-3 number, since 3×2232100003 (a number of 26 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223210007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2209950 + ... + 2210050.
Almost surely, 2223210000 is an apocalyptic number.
223210000 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 223210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311159772).
223210000 is an abundant number, since it is smaller than the sum of its proper divisors (399109544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223210000 is a wasteful number, since it uses less digits than its factorization.
223210000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 159 (or 138 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 10.
The square root of 223210000 is about 14940.2141885583. The cubic root of 223210000 is about 606.6029934918.
Adding to 223210000 its reverse (12322), we get a palindrome (223222322).
The spelling of 223210000 in words is "two hundred twenty-three million, two hundred ten thousand".
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