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223232 = 211109
BaseRepresentation
bin110110100000000000
3102100012212
4312200000
524120412
64441252
71616552
oct664000
9370185
10223232
11142799
12a9228
137a7b9
145b4d2
1546222
hex36800

223232 has 24 divisors (see below), whose sum is σ = 450450. Its totient is φ = 110592.

The previous prime is 223229. The next prime is 223241. The reversal of 223232 is 232322.

223232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 173056 + 50176 = 416^2 + 224^2 .

It is a super-3 number, since 3×2232323 = 33372643214229504, which contains 333 as substring.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1994 + ... + 2102.

2223232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225225).

223232 is an abundant number, since it is smaller than the sum of its proper divisors (227218).

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

223232 is an equidigital number, since it uses as much as digits as its factorization.

223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 111 counting only the distinct ones).

The product of its digits is 144, while the sum is 14.

The square root of 223232 is about 472.4743379275. The cubic root of 223232 is about 60.6622922150.

Adding to 223232 its reverse (232322), we get a palindrome (455554).

It can be divided in two parts, 2 and 23232, that multiplied together give a palindrome (46464).

The spelling of 223232 in words is "two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 436 512 872 1024 1744 2048 3488 6976 13952 27904 55808 111616 223232