| Base | Representation |
|---|---|
| bin | 11001011100000… |
| … | …00111011000000 |
| 3 | 112212112021200000 |
| 4 | 30232000323000 |
| 5 | 414111421432 |
| 6 | 33101400000 |
| 7 | 5200530225 |
| oct | 1456007300 |
| 9 | 485467600 |
| 10 | 213388992 |
| 11 | aa4a8343 |
| 12 | 5b569000 |
| 13 | 3529459b |
| 14 | 204a994c |
| 15 | 13b0157c |
| hex | cb80ec0 |
213388992 has 84 divisors (see below), whose sum is σ = 634340616. Its totient is φ = 71124480.
The previous prime is 213388991. The next prime is 213388993. The reversal of 213388992 is 299883312.
213388992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (213388991) and next prime (213388993).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (213388991) 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 11 ways as a sum of consecutive naturals, for example, 8692 + ... + 22412.
It is an arithmetic number, because the mean of its divisors is an integer number (7551674).
Almost surely, 2213388992 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 213388992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317170308).
213388992 is an abundant number, since it is smaller than the sum of its proper divisors (420951624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213388992 is an equidigital number, since it uses as much as digits as its factorization.
213388992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13748 (or 13726 counting only the distinct ones).
The product of its digits is 186624, while the sum is 45.
The square root of 213388992 is about 14607.8400867479. The cubic root of 213388992 is about 597.5725927335.
It can be divided in two parts, 2133 and 88992, that added together give a cube (91125 = 453).
The spelling of 213388992 in words is "two hundred thirteen million, three hundred eighty-eight thousand, nine hundred ninety-two".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.065 sec. • engine limits •