Base | Representation |
---|---|
bin | 11010100110011… |
… | …01100010100000 |
3 | 120112212200112110 |
4 | 31103031202200 |
5 | 424110440000 |
6 | 34050355320 |
7 | 5346441636 |
oct | 1523154240 |
9 | 515780473 |
10 | 223140000 |
11 | 104a58426 |
12 | 6288bb40 |
13 | 372c9a05 |
14 | 218c7356 |
15 | 148ca850 |
hex | d4cd8a0 |
223140000 has 120 divisors (see below), whose sum is σ = 732140640. Its totient is φ = 59488000.
The previous prime is 223139981. The next prime is 223140023. The reversal of 223140000 is 41322.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-3 number, since 3×2231400003 (a number of 26 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58141 + ... + 61859.
It is an arithmetic number, because the mean of its divisors is an integer number (6101172).
Almost surely, 2223140000 is an apocalyptic number.
223140000 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 223140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366070320).
223140000 is an abundant number, since it is smaller than the sum of its proper divisors (509000640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223140000 is an equidigital number, since it uses as much as digits as its factorization.
223140000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3752 (or 3729 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 12.
The square root of 223140000 is about 14937.8713342966. The cubic root of 223140000 is about 606.5395754115.
Adding to 223140000 its reverse (41322), we get a palindrome (223181322).
The spelling of 223140000 in words is "two hundred twenty-three million, one hundred forty thousand".
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