Search a number
-
+
11222200 = 2352115101
BaseRepresentation
bin101010110011…
…110010111000
3210010010222001
4222303302320
510333102300
61040310344
7164246533
oct52636270
923103861
1011222200
116375450
1239123b4
13242bc72
1416c1a1a
15eba16a
hexab3cb8

11222200 has 48 divisors (see below), whose sum is σ = 28469160. Its totient is φ = 4080000.

The previous prime is 11222177. The next prime is 11222201. The reversal of 11222200 is 222211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222201) 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, 351 + ... + 4750.

Almost surely, 211222200 is an apocalyptic number.

11222200 is a gapful number since it is divisible by the number (10) 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 11222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14234580).

11222200 is an abundant number, since it is smaller than the sum of its proper divisors (17246960).

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

11222200 is a wasteful number, since it uses less digits than its factorization.

11222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128 (or 5119 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 11222200 is about 3349.9552235814. The cubic root of 11222200 is about 223.8855176055.

Adding to 11222200 its reverse (222211), we get a palindrome (11444411).

The spelling of 11222200 in words is "eleven million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 5101 10202 20404 25505 40808 51010 56111 102020 112222 127525 204040 224444 255050 280555 448888 510100 561110 1020200 1122220 1402775 2244440 2805550 5611100 11222200