Search a number
-
+
2133200 = 24525333
BaseRepresentation
bin1000001000110011010000
311000101012102
420020303100
51021230300
6113415532
724063146
oct10106320
94011172
102133200
111227783
1286a5a8
13598c64
143d7596
152c20d5
hex208cd0

2133200 has 30 divisors (see below), whose sum is σ = 5125974. Its totient is φ = 853120.

The previous prime is 2133191. The next prime is 2133217. The reversal of 2133200 is 23312.

It can be written as a sum of positive squares in 3 ways, for example, as 712336 + 1420864 = 844^2 + 1192^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2267 + ... + 3066.

22133200 is an apocalyptic number.

2133200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133200 is an abundant number, since it is smaller than the sum of its proper divisors (2992774).

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

2133200 is a wasteful number, since it uses less digits than its factorization.

2133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5351 (or 5340 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 2133200 is about 1460.5478424208. The cubic root of 2133200 is about 128.7292359766.

Adding to 2133200 its reverse (23312), we get a palindrome (2156512).

The spelling of 2133200 in words is "two million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5333 10666 21332 26665 42664 53330 85328 106660 133325 213320 266650 426640 533300 1066600 2133200