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223236 = 22341353
BaseRepresentation
bin110110100000000100
3102100020000
4312200010
524120421
64441300
71616556
oct664004
9370200
10223236
111427a2
12a9230
137a7c0
145b4d6
1546226
hex36804

223236 has 60 divisors (see below), whose sum is σ = 640332. Its totient is φ = 67392.

The previous prime is 223229. The next prime is 223241. The reversal of 223236 is 632322.

223236 = T64 + T65 + ... + T116.

It can be written as a sum of positive squares in 2 ways, for example, as 93636 + 129600 = 306^2 + 360^2 .

It is a super-3 number, since 3×2232363 = 33374437217304768, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a d-powerful number, because it can be written as 27 + 215 + 217 + 3 + 310 + 63 .

It is a congruent number.

It is an unprimeable number.

223236 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4186 + ... + 4238.

2223236 is an apocalyptic number.

223236 is a gapful number since it is divisible by the number (26) 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 223236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320166).

223236 is an abundant number, since it is smaller than the sum of its proper divisors (417096).

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

223236 is a wasteful number, since it uses less digits than its factorization.

223236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 71 counting only the distinct ones).

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

The square root of 223236 is about 472.4785709426. The cubic root of 223236 is about 60.6626545402.

Adding to 223236 its reverse (632322), we get a palindrome (855558).

The spelling of 223236 in words is "two hundred twenty-three thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 53 54 78 81 106 108 117 156 159 162 212 234 318 324 351 468 477 636 689 702 954 1053 1378 1404 1431 1908 2067 2106 2756 2862 4134 4212 4293 5724 6201 8268 8586 12402 17172 18603 24804 37206 55809 74412 111618 223236