Base | Representation |
---|---|
bin | 11010100110011… |
… | …01110010001000 |
3 | 120112212201220111 |
4 | 31103031302020 |
5 | 424111003000 |
6 | 34050404104 |
7 | 5346444565 |
oct | 1523156210 |
9 | 515781814 |
10 | 223141000 |
11 | 104a59155 |
12 | 62890634 |
13 | 372ca2c4 |
14 | 218c786c |
15 | 148cacba |
hex | d4cdc88 |
223141000 has 64 divisors (see below), whose sum is σ = 524983680. Its totient is φ = 88772800.
The previous prime is 223140991. The next prime is 223141013. The reversal of 223141000 is 141322.
It is a super-3 number, since 3×2231410003 (a number of 26 digits) contains 333 as substring.
It is a congruent number.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 226509 + ... + 227491.
It is an arithmetic number, because the mean of its divisors is an integer number (8202870).
Almost surely, 2223141000 is an apocalyptic number.
223141000 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 223141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262491840).
223141000 is an abundant number, since it is smaller than the sum of its proper divisors (301842680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223141000 is a wasteful number, since it uses less digits than its factorization.
223141000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1231 (or 1217 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 13.
The square root of 223141000 is about 14937.9048062304. The cubic root of 223141000 is about 606.5404814774.
Adding to 223141000 its reverse (141322), we get a palindrome (223282322).
The spelling of 223141000 in words is "two hundred twenty-three million, one hundred forty-one thousand".
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