| Base | Representation |
|---|---|
| bin | 11001001010000… |
| … | …01110101100000 |
| 3 | 112201002121110100 |
| 4 | 30211001311200 |
| 5 | 413011032230 |
| 6 | 32535102400 |
| 7 | 5141516562 |
| oct | 1445016540 |
| 9 | 481077410 |
| 10 | 211033440 |
| 11 | a9139602 |
| 12 | 5a811a00 |
| 13 | 3494b377 |
| 14 | 20055332 |
| 15 | 137d8660 |
| hex | c941d60 |
211033440 has 144 divisors (see below), whose sum is σ = 727783056. Its totient is φ = 55680000.
The previous prime is 211033429. The next prime is 211033447. The reversal of 211033440 is 44330112.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×2110334402 = 89070225596467200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (211033447) 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 23 ways as a sum of consecutive naturals, for example, 144715 + ... + 146165.
It is an arithmetic number, because the mean of its divisors is an integer number (5054049).
Almost surely, 2211033440 is an apocalyptic number.
211033440 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 211033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363891528).
211033440 is an abundant number, since it is smaller than the sum of its proper divisors (516749616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211033440 is a wasteful number, since it uses less digits than its factorization.
211033440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1573 (or 1562 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 211033440 is about 14526.9900530013. The cubic root of 211033440 is about 595.3656298501.
Adding to 211033440 its reverse (44330112), we get a palindrome (255363552).
The spelling of 211033440 in words is "two hundred eleven million, thirty-three thousand, four hundred forty".
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