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223218 = 23212401
BaseRepresentation
bin110110011111110010
3102100012100
4312133302
524120333
64441230
71616532
oct663762
9370170
10223218
11142786
12a9216
137a7a8
145b4c2
1546213
hex367f2

223218 has 12 divisors (see below), whose sum is σ = 483678. Its totient is φ = 74400.

The previous prime is 223217. The next prime is 223219. The reversal of 223218 is 812322.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (223217) and next prime (223219).

It can be written as a sum of positive squares in only one way, i.e., 199809 + 23409 = 447^2 + 153^2 .

It is a super-3 number, since 3×2232183 = 33366364709748696, which contains 333 as substring.

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: 12401 = 223218 / (2 + 2 + 3 + 2 + 1 + 8).

It is a self number, because there is not a number n which added to its sum of digits gives 223218.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6183 + ... + 6218.

2223218 is an apocalyptic number.

223218 is an abundant number, since it is smaller than the sum of its proper divisors (260460).

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

223218 is a wasteful number, since it uses less digits than its factorization.

223218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12409 (or 12406 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 223218 is about 472.4595220757. The cubic root of 223218 is about 60.6610240428.

It can be divided in two parts, 223 and 218, that added together give a square (441 = 212).

The spelling of 223218 in words is "two hundred twenty-three thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 12401 24802 37203 74406 111609 223218