Search a number
-
+
22001200 = 2452134231
BaseRepresentation
bin101001111101…
…1011000110000
31112101202222021
41103323120300
521113014300
62103321224
7355002304
oct123733060
945352867
1022001200
1111467911
127450214
134734280
142cc9d04
151de8d1a
hex14fb630

22001200 has 60 divisors (see below), whose sum is σ = 56937328. Its totient is φ = 8121600.

The previous prime is 22001197. The next prime is 22001207. The reversal of 22001200 is 210022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22001207) 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 11 ways as a sum of consecutive naturals, for example, 3085 + ... + 7315.

Almost surely, 222001200 is an apocalyptic number.

22001200 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 22001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28468664).

22001200 is an abundant number, since it is smaller than the sum of its proper divisors (34936128).

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

22001200 is a wasteful number, since it uses less digits than its factorization.

22001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 22001200 is about 4690.5436785089. The cubic root of 22001200 is about 280.2090275899.

Adding to 22001200 its reverse (210022), we get a palindrome (22211222).

It can be divided in two parts, 22001 and 200, that added together give a square (22201 = 1492).

The spelling of 22001200 in words is "twenty-two million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 4231 5200 8462 16924 21155 33848 42310 55003 67696 84620 105775 110006 169240 211550 220012 275015 338480 423100 440024 550030 846200 880048 1100060 1375075 1692400 2200120 2750150 4400240 5500300 11000600 22001200