Base | Representation |
---|---|
bin | 10111110110111… |
… | …11010111000010 |
3 | 111221121101101200 |
4 | 23323133113002 |
5 | 402214104242 |
6 | 31505442030 |
7 | 4650125100 |
oct | 1373372702 |
9 | 457541350 |
10 | 200144322 |
11 | a2a81434 |
12 | 57040316 |
13 | 32607bc1 |
14 | 1c81cc70 |
15 | 1288704c |
hex | bedf5c2 |
200144322 has 72 divisors (see below), whose sum is σ = 518163516. Its totient is φ = 55629504.
The previous prime is 200144303. The next prime is 200144333. The reversal of 200144322 is 223441002.
200144322 is a `hidden beast` number, since 200 + 1 + 443 + 22 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 148864401 + 51279921 = 12201^2 + 7161^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 200144295 and 200144304.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29568 + ... + 35700.
Almost surely, 2200144322 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 200144322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259081758).
200144322 is an abundant number, since it is smaller than the sum of its proper divisors (318019194).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
200144322 is a wasteful number, since it uses less digits than its factorization.
200144322 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6192 (or 6182 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 200144322 is about 14147.2372567933. The cubic root of 200144322 is about 584.9441805166.
Adding to 200144322 its reverse (223441002), we get a palindrome (423585324).
It can be divided in two parts, 20014 and 4322, that added together give a square (24336 = 1562).
The spelling of 200144322 in words is "two hundred million, one hundred forty-four thousand, three hundred twenty-two".
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