Search a number
-
+
266203200 = 26352311789
BaseRepresentation
bin11111101110111…
…11000001000000
3200112220112010210
433313133001000
51021122000300
642225354120
76411455424
oct1767370100
9615815123
10266203200
111272a044a
1275198940
13431c68b3
14274d6b84
1518585050
hexfddf040

266203200 has 168 divisors, whose sum is σ = 902045440. Its totient is φ = 68659200.

The previous prime is 266203181. The next prime is 266203213. The reversal of 266203200 is 2302662.

266203200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147906 + ... + 149694.

Almost surely, 2266203200 is an apocalyptic number.

266203200 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 266203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451022720).

266203200 is an abundant number, since it is smaller than the sum of its proper divisors (635842240).

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

266203200 is a wasteful number, since it uses less digits than its factorization.

266203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 266203200 is about 16315.7347367503. The cubic root of 266203200 is about 643.2864800430.

Adding to 266203200 its reverse (2302662), we get a palindrome (268505862).

It can be divided in two parts, 26620 and 3200, that multiplied together give a cube (85184000 = 4403).

The spelling of 266203200 in words is "two hundred sixty-six million, two hundred three thousand, two hundred".