Search a number
-
+
222200 = 235211101
BaseRepresentation
bin110110001111111000
3102021210122
4312033320
524102300
64432412
71613546
oct661770
9367718
10222200
11141a40
12a8708
137a1a4
145ad96
1545c85
hex363f8

222200 has 48 divisors (see below), whose sum is σ = 569160. Its totient is φ = 80000.

The previous prime is 222199. The next prime is 222247. The reversal of 222200 is 2222.

222200 = 822 + 832 + ... + 1062.

It is a Harshad number since it is a multiple of its sum of digits (8).

222200 is a Rhonda number in base 6.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2150 + ... + 2250.

2222200 is an apocalyptic number.

222200 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 222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284580).

222200 is an abundant number, since it is smaller than the sum of its proper divisors (346960).

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

222200 is a wasteful number, since it uses less digits than its factorization.

222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 222200 is about 471.3809499757. The cubic root of 222200 is about 60.5686673376.

Adding to 222200 its reverse (2222), we get a palindrome (224422).

Multiplying 222200 by its reverse (2222), we get a square (493728400 = 222202).

222200 divided by its reverse (2222) gives a square (100 = 102).

It can be divided in two parts, 22 and 2200, that multiplied together give a square (48400 = 2202).

The spelling of 222200 in words is "two hundred twenty-two thousand, two hundred", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 200 202 220 275 404 440 505 550 808 1010 1100 1111 2020 2200 2222 2525 4040 4444 5050 5555 8888 10100 11110 20200 22220 27775 44440 55550 111100 222200