Base | Representation |
---|---|
bin | 1000100000110110100000 |
3 | 11012101100000 |
4 | 20200312200 |
5 | 1032403322 |
6 | 115500000 |
7 | 24653310 |
oct | 10406640 |
9 | 4171300 |
10 | 2231712 |
11 | 129479a |
12 | 8b7600 |
13 | 601a52 |
14 | 421440 |
15 | 2e13ac |
hex | 220da0 |
2231712 has 144 divisors (see below), whose sum is σ = 7705152. Its totient is φ = 622080.
The previous prime is 2231711. The next prime is 2231717. The reversal of 2231712 is 2171322.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-3 number, since 3×22317123 = 33345382282299408384, which contains 333 as substring.
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 zygodrome in base 6.
It is not an unprimeable number, because it can be changed into a prime (2231711) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54412 + ... + 54452.
It is an arithmetic number, because the mean of its divisors is an integer number (53508).
22231712 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 2231712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852576).
2231712 is an abundant number, since it is smaller than the sum of its proper divisors (5473440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2231712 is an equidigital number, since it uses as much as digits as its factorization.
2231712 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 73 (or 53 counting only the distinct ones).
The product of its digits is 168, while the sum is 18.
The square root of 2231712 is about 1493.8915623297. The cubic root of 2231712 is about 130.6810803666.
The spelling of 2231712 in words is "two million, two hundred thirty-one thousand, seven hundred twelve".
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