Base | Representation |
---|---|
bin | 1000100011111100110000 |
3 | 11020000201221 |
4 | 20203330300 |
5 | 1033310100 |
6 | 120034424 |
7 | 25035304 |
oct | 10437460 |
9 | 4200657 |
10 | 2244400 |
11 | 12a3284 |
12 | 902a14 |
13 | 607762 |
14 | 425d04 |
15 | 2e501a |
hex | 223f30 |
2244400 has 60 divisors (see below), whose sum is σ = 5596864. Its totient is φ = 864000.
The previous prime is 2244377. The next prime is 2244401. The reversal of 2244400 is 44422.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a zygodrome in base 10.
It is not an unprimeable number, because it can be changed into a prime (2244401) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12310 + ... + 12490.
22244400 is an apocalyptic number.
2244400 is a gapful number since it is divisible by the number (20) 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 2244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798432).
2244400 is an abundant number, since it is smaller than the sum of its proper divisors (3352464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2244400 is a wasteful number, since it uses less digits than its factorization.
2244400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 230 (or 219 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 16.
The square root of 2244400 is about 1498.1321704042. The cubic root of 2244400 is about 130.9282671590.
Adding to 2244400 its reverse (44422), we get a palindrome (2288822).
It can be divided in two parts, 224 and 4400, that added together give a square (4624 = 682).
The spelling of 2244400 in words is "two million, two hundred forty-four thousand, four hundred".
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