Base | Representation |
---|---|
bin | 11001010000110… |
… | …11001111100000 |
3 | 112202202211222200 |
4 | 30220123033200 |
5 | 413223031221 |
6 | 33010133200 |
7 | 5152216020 |
oct | 1450331740 |
9 | 482684880 |
10 | 211923936 |
11 | a9697654 |
12 | 5ab81200 |
13 | 34ba07a3 |
14 | 20207a80 |
15 | 13912426 |
hex | ca1b3e0 |
211923936 has 144 divisors (see below), whose sum is σ = 711180288. Its totient is φ = 58579200.
The previous prime is 211923931. The next prime is 211923937. The reversal of 211923936 is 639329112.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 211923936.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (211923931) 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 23 ways as a sum of consecutive naturals, for example, 60801 + ... + 64191.
It is an arithmetic number, because the mean of its divisors is an integer number (4938752).
Almost surely, 2211923936 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 211923936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355590144).
211923936 is an abundant number, since it is smaller than the sum of its proper divisors (499256352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211923936 is a wasteful number, since it uses less digits than its factorization.
211923936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3445 (or 3434 counting only the distinct ones).
The product of its digits is 17496, while the sum is 36.
The square root of 211923936 is about 14557.6074957391. The cubic root of 211923936 is about 596.2018744697.
The spelling of 211923936 in words is "two hundred eleven million, nine hundred twenty-three thousand, nine hundred thirty-six".
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