| Base | Representation |
|---|---|
| bin | 11001011101001… |
| … | …00110010000000 |
| 3 | 112212210202011000 |
| 4 | 30232210302000 |
| 5 | 414131121442 |
| 6 | 33104452000 |
| 7 | 5202011364 |
| oct | 1456446200 |
| 9 | 485722130 |
| 10 | 213535872 |
| 11 | aa598730 |
| 12 | 5b61a000 |
| 13 | 353163b4 |
| 14 | 205072a4 |
| 15 | 13b2ed4c |
| hex | cba4c80 |
213535872 has 256 divisors, whose sum is σ = 709430400. Its totient is φ = 62668800.
The previous prime is 213535867. The next prime is 213535873. The reversal of 213535872 is 278535312.
It is a happy number.
213535872 is a `hidden beast` number, since 21 + 3 + 53 + 587 + 2 = 666.
213535872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (213535873) 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 31 ways as a sum of consecutive naturals, for example, 1558588 + ... + 1558724.
Almost surely, 2213535872 is an apocalyptic number.
213535872 is a gapful number since it is divisible by the number (22) 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 213535872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354715200).
213535872 is an abundant number, since it is smaller than the sum of its proper divisors (495894528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213535872 is a wasteful number, since it uses less digits than its factorization.
213535872 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 212 (or 194 counting only the distinct ones).
The product of its digits is 50400, while the sum is 36.
The square root of 213535872 is about 14612.8666592151. The cubic root of 213535872 is about 597.7096684264.
It can be divided in two parts, 21353 and 5872, that added together give a square (27225 = 1652).
The spelling of 213535872 in words is "two hundred thirteen million, five hundred thirty-five thousand, eight hundred seventy-two".
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