Base | Representation |
---|---|
bin | 11001001001110… |
… | …01101101111100 |
3 | 112201000220211210 |
4 | 30210321231330 |
5 | 413004001223 |
6 | 32534244420 |
7 | 5141320620 |
oct | 1444715574 |
9 | 481026753 |
10 | 211000188 |
11 | a9116623 |
12 | 5a7b6710 |
13 | 349391a9 |
14 | 20047180 |
15 | 137cd893 |
hex | c939b7c |
211000188 has 48 divisors (see below), whose sum is σ = 565850880. Its totient is φ = 59944704.
The previous prime is 211000177. The next prime is 211000217. The reversal of 211000188 is 881000112.
211000188 is digitally balanced in base 3 and base 9, because in such bases 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 (21).
211000188 is strictly pandigital in base 9.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8020 + ... + 22052.
It is an arithmetic number, because the mean of its divisors is an integer number (11788560).
Almost surely, 2211000188 is an apocalyptic number.
211000188 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 211000188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282925440).
211000188 is an abundant number, since it is smaller than the sum of its proper divisors (354850692).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211000188 is a wasteful number, since it uses less digits than its factorization.
211000188 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 14226 (or 14224 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 21.
The square root of 211000188 is about 14525.8455175594. The cubic root of 211000188 is about 595.3343581272.
The spelling of 211000188 in words is "two hundred eleven million, one hundred eighty-eight", and thus it is an aban number.
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