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200444004 = 22335983379
BaseRepresentation
bin10111111001010…
…00100001100100
3111222011121111000
423330220201210
5402303202004
631520113300
74652513565
oct1374504144
9458147430
10200444004
11a3166602
1257165830
13326b1427
141c89a16c
15128e5c39
hexbf28864

200444004 has 96 divisors (see below), whose sum is σ = 536256000. Its totient is φ = 64719648.

The previous prime is 200444003. The next prime is 200444029. The reversal of 200444004 is 400444002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (200444003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 528687 + ... + 529065.

It is an arithmetic number, because the mean of its divisors is an integer number (5586000).

Almost surely, 2200444004 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 200444004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268128000).

200444004 is an abundant number, since it is smaller than the sum of its proper divisors (335811996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200444004 is a wasteful number, since it uses less digits than its factorization.

200444004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 200444004 is about 14157.8248329325. The cubic root of 200444004 is about 585.2359863167.

Adding to 200444004 its reverse (400444002), we get a palindrome (600888006).

The spelling of 200444004 in words is "two hundred million, four hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 83 108 118 166 177 236 249 332 354 379 498 531 708 747 758 996 1062 1137 1494 1516 1593 2124 2241 2274 2988 3186 3411 4482 4548 4897 6372 6822 8964 9794 10233 13644 14691 19588 20466 22361 29382 31457 40932 44073 44722 58764 62914 67083 88146 89444 94371 125828 132219 134166 176292 188742 201249 264438 268332 283113 377484 402498 528876 566226 603747 804996 849339 1132452 1207494 1698678 1855963 2414988 3397356 3711926 5567889 7423852 11135778 16703667 22271556 33407334 50111001 66814668 100222002 200444004