Search a number
223300 = 225271129
BaseRepresentation
bin110110100001000100
3102100022101
4312201010
524121200
64441444
71620010
oct664104
9370271
10223300
11142850
12a9284
137a83c
145b540
154626a
hex36844

223300 has 72 divisors (see below), whose sum is σ = 624960. Its totient is φ = 67200.

The previous prime is 223291. The next prime is 223303. The reversal of 223300 is 3322.

Adding to 223300 its reverse (3322), we get a palindrome (226622).

223300 = 12 + 22 + ... + 872.

223300 is nontrivially palindromic in base 6.

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

It is an Ulam number.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (223303) by changing a digit.

223300 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 23 ways as a sum of consecutive naturals, for example, 7686 + ... + 7714.

It is an arithmetic number, because the mean of its divisors is an integer number (8680).

2223300 is an apocalyptic number.

223300 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 223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312480).

223300 is an abundant number, since it is smaller than the sum of its proper divisors (401660).

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

223300 is a wasteful number, since it uses less digits than its factorization.

223300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 223300 is about 472.5462940284. The cubic root of 223300 is about 60.6684511544.

The spelling of 223300 in words is "two hundred twenty-three thousand, three hundred", and thus it is an iban number.