Base | Representation |
---|---|
bin | 11001011011100… |
… | …01000100000000 |
3 | 112212101222120002 |
4 | 30231301010000 |
5 | 414102332112 |
6 | 33100135132 |
7 | 5200136645 |
oct | 1455610400 |
9 | 485358502 |
10 | 213324032 |
11 | aa463559 |
12 | 5b5374a8 |
13 | 35270b4c |
14 | 2048ddcc |
15 | 13adc1c2 |
hex | cb71100 |
213324032 has 36 divisors (see below), whose sum is σ = 435739920. Its totient is φ = 104176128.
The previous prime is 213324017. The next prime is 213324073. The reversal of 213324032 is 230423312.
It is a nialpdrome in base 16.
It is a junction number, because it is equal to n+sod(n) for n = 213323995 and 213324013.
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1319 + ... + 20697.
Almost surely, 2213324032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 213324032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217869960).
213324032 is an abundant number, since it is smaller than the sum of its proper divisors (222415888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213324032 is an equidigital number, since it uses as much as digits as its factorization.
213324032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 19438 (or 19424 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 20.
The square root of 213324032 is about 14605.6164539536. The cubic root of 213324032 is about 597.5119487815.
Adding to 213324032 its reverse (230423312), we get a palindrome (443747344).
The spelling of 213324032 in words is "two hundred thirteen million, three hundred twenty-four thousand, thirty-two".
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