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223362 = 23212409
BaseRepresentation
bin110110100010000010
3102100101200
4312202002
524121422
64442030
71620126
oct664202
9370350
10223362
111428a7
12a9316
137a889
145b586
15462ac
hex36882

223362 has 12 divisors (see below), whose sum is σ = 483990. Its totient is φ = 74448.

The previous prime is 223361. The next prime is 223367. The reversal of 223362 is 263322.

It can be written as a sum of positive squares in only one way, i.e., 221841 + 1521 = 471^2 + 39^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12409 = 223362 / (2 + 2 + 3 + 3 + 6 + 2).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (223361) by changing a digit.

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, 6187 + ... + 6222.

2223362 is an apocalyptic number.

223362 is an abundant number, since it is smaller than the sum of its proper divisors (260628).

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

223362 is a wasteful number, since it uses less digits than its factorization.

223362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12417 (or 12414 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 223362 is about 472.6118915135. The cubic root of 223362 is about 60.6740655684.

Adding to 223362 its reverse (263322), we get a palindrome (486684).

It can be divided in two parts, 223 and 362, that added together give a palindrome (585).

The spelling of 223362 in words is "two hundred twenty-three thousand, three hundred sixty-two".

Divisors: 1 2 3 6 9 18 12409 24818 37227 74454 111681 223362