Base | Representation |
---|---|
bin | 11001011001001… |
… | …00101100100000 |
3 | 112211211002110220 |
4 | 30230210230200 |
5 | 414012324412 |
6 | 33045323040 |
7 | 5164365000 |
oct | 1454445440 |
9 | 484732426 |
10 | 213011232 |
11 | aa26a545 |
12 | 5b406480 |
13 | 35191665 |
14 | 2040c000 |
15 | 13a7968c |
hex | cb24b20 |
213011232 has 96 divisors (see below), whose sum is σ = 652176000. Its totient is φ = 60850944.
The previous prime is 213011219. The next prime is 213011233. The reversal of 213011232 is 232110312.
It is a tau number, because it is divible by the number of its divisors (96).
It is not an unprimeable number, because it can be changed into a prime (213011233) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29694 + ... + 36162.
It is an arithmetic number, because the mean of its divisors is an integer number (6793500).
Almost surely, 2213011232 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 213011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326088000).
213011232 is an abundant number, since it is smaller than the sum of its proper divisors (439164768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213011232 is an equidigital number, since it uses as much as digits as its factorization.
213011232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6503 (or 6481 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
The square root of 213011232 is about 14594.9043162331. The cubic root of 213011232 is about 597.2197592229.
Adding to 213011232 its reverse (232110312), we get a palindrome (445121544).
The spelling of 213011232 in words is "two hundred thirteen million, eleven thousand, two hundred thirty-two".
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