Base | Representation |
---|---|
bin | 1000010010000101100000 |
3 | 11002022101000 |
4 | 20102011200 |
5 | 1023434412 |
6 | 114312000 |
7 | 24312060 |
oct | 10220540 |
9 | 4068330 |
10 | 2171232 |
11 | 1253308 |
12 | 888600 |
13 | 5b036b |
14 | 4073a0 |
15 | 2cd4dc |
hex | 212160 |
2171232 has 96 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 618624.
The previous prime is 2171231. The next prime is 2171243. The reversal of 2171232 is 2321712.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a nialpdrome in base 12.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2171231) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5869 + ... + 6227.
It is an arithmetic number, because the mean of its divisors is an integer number (75600).
22171232 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 2171232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).
2171232 is an abundant number, since it is smaller than the sum of its proper divisors (5086368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2171232 is a wasteful number, since it uses less digits than its factorization.
2171232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 385 (or 371 counting only the distinct ones).
The product of its digits is 168, while the sum is 18.
The square root of 2171232 is about 1473.5100949773. The cubic root of 2171232 is about 129.4897553550.
Adding to 2171232 its reverse (2321712), we get a palindrome (4492944).
It can be divided in two parts, 21 and 71232, that added together give a triangular number (71253 = T377).
The spelling of 2171232 in words is "two million, one hundred seventy-one thousand, two hundred thirty-two".
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