Base | Representation |
---|---|
bin | 11001001011010… |
… | …11010100000000 |
3 | 112201102020111111 |
4 | 30211223110000 |
5 | 413032001303 |
6 | 32542453104 |
7 | 5143125100 |
oct | 1445532400 |
9 | 481366444 |
10 | 211203328 |
11 | a9245206 |
12 | 5a894194 |
13 | 349aa7ab |
14 | 2009b200 |
15 | 1381db6d |
hex | c96b500 |
211203328 has 108 divisors (see below), whose sum is σ = 498071700. Its totient is φ = 89112576.
The previous prime is 211203313. The next prime is 211203329. The reversal of 211203328 is 823302112.
It can be written as a sum of positive squares in 2 ways, for example, as 12054784 + 199148544 = 3472^2 + 14112^2 .
It is a junction number, because it is equal to n+sod(n) for n = 211203299 and 211203308.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (211203329) 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, 1417398 + ... + 1417546.
It is an arithmetic number, because the mean of its divisors is an integer number (4611775).
Almost surely, 2211203328 is an apocalyptic number.
211203328 is a gapful number since it is divisible by the number (28) 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 211203328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249035850).
211203328 is an abundant number, since it is smaller than the sum of its proper divisors (286868372).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211203328 is a wasteful number, since it uses less digits than its factorization.
211203328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 292 (or 271 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 22.
The square root of 211203328 is about 14532.8361994485. The cubic root of 211203328 is about 595.5253491606.
The spelling of 211203328 in words is "two hundred eleven million, two hundred three thousand, three hundred twenty-eight".
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