Base | Representation |
---|---|
bin | 1000100011111101010000 |
3 | 11020000210010 |
4 | 20203331100 |
5 | 1033310212 |
6 | 120034520 |
7 | 25035351 |
oct | 10437520 |
9 | 4200703 |
10 | 2244432 |
11 | 12a3303 |
12 | 902a40 |
13 | 607788 |
14 | 425d28 |
15 | 2e503c |
hex | 223f50 |
2244432 has 80 divisors (see below), whose sum is σ = 6428160. Its totient is φ = 671616.
The previous prime is 2244427. The next prime is 2244439. The reversal of 2244432 is 2344422.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 2244399 and 2244408.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2244439) 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, 20923 + ... + 21029.
It is an arithmetic number, because the mean of its divisors is an integer number (80352).
22244432 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 2244432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214080).
2244432 is an abundant number, since it is smaller than the sum of its proper divisors (4183728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2244432 is a wasteful number, since it uses less digits than its factorization.
2244432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 160 (or 154 counting only the distinct ones).
The product of its digits is 1536, while the sum is 21.
The square root of 2244432 is about 1498.1428503317. The cubic root of 2244432 is about 130.9288894017.
Adding to 2244432 its reverse (2344422), we get a palindrome (4588854).
It can be divided in two parts, 224 and 4432, that added together give a triangular number (4656 = T96).
The spelling of 2244432 in words is "two million, two hundred forty-four thousand, four hundred thirty-two".
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