| Base | Representation |
|---|---|
| bin | 11001011010101… |
| … | …01010011010000 |
| 3 | 112212012012120112 |
| 4 | 30231111103100 |
| 5 | 414040212240 |
| 6 | 33053500452 |
| 7 | 5166154301 |
| oct | 1455252320 |
| 9 | 485165515 |
| 10 | 213210320 |
| 11 | aa396084 |
| 12 | 5b4a1728 |
| 13 | 3523116b |
| 14 | 204607a8 |
| 15 | 13ab8665 |
| hex | cb554d0 |
213210320 has 60 divisors (see below), whose sum is σ = 513559020. Its totient is φ = 82317312.
The previous prime is 213210313. The next prime is 213210323. The reversal of 213210320 is 23012312.
It is a happy number.
It can be written as a sum of positive squares in 6 ways, for example, as 3655744 + 209554576 = 1912^2 + 14476^2 .
It is a junction number, because it is equal to n+sod(n) for n = 213210295 and 213210304.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (213210323) by changing a digit.
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 11 ways as a sum of consecutive naturals, for example, 65696 + ... + 68864.
It is an arithmetic number, because the mean of its divisors is an integer number (8559317).
Almost surely, 2213210320 is an apocalyptic number.
213210320 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 213210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256779510).
213210320 is an abundant number, since it is smaller than the sum of its proper divisors (300348700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213210320 is a wasteful number, since it uses less digits than its factorization.
213210320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3240 (or 3205 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 14.
The square root of 213210320 is about 14601.7231859805. The cubic root of 213210320 is about 597.4057623474.
Adding to 213210320 its reverse (23012312), we get a palindrome (236222632).
The spelling of 213210320 in words is "two hundred thirteen million, two hundred ten thousand, three hundred twenty".
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