Base | Representation |
---|---|
bin | 11001010011111… |
… | …10101000010000 |
3 | 112210112112102000 |
4 | 30221332220100 |
5 | 413324043044 |
6 | 33022554000 |
7 | 5155532613 |
oct | 1451765020 |
9 | 483475360 |
10 | 212331024 |
11 | a9945494 |
12 | 5b138900 |
13 | 34cb3b79 |
14 | 202b217a |
15 | 13992d69 |
hex | ca7ea10 |
212331024 has 80 divisors (see below), whose sum is σ = 611835840. Its totient is φ = 70502400.
The previous prime is 212330999. The next prime is 212331089. The reversal of 212331024 is 420133212.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 212330988 and 212331006.
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, 131824 + ... + 133424.
It is an arithmetic number, because the mean of its divisors is an integer number (7647948).
Almost surely, 2212331024 is an apocalyptic number.
212331024 is a gapful number since it is divisible by the number (24) 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 212331024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305917920).
212331024 is an abundant number, since it is smaller than the sum of its proper divisors (399504816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212331024 is a wasteful number, since it uses less digits than its factorization.
212331024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1925 (or 1913 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 212331024 is about 14571.5827554868. The cubic root of 212331024 is about 596.5833814584.
Adding to 212331024 its reverse (420133212), we get a palindrome (632464236).
The spelling of 212331024 in words is "two hundred twelve million, three hundred thirty-one thousand, twenty-four".
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