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223056 = 24321549
BaseRepresentation
bin110110011101010000
3102022222100
4312131100
524114211
64440400
71616211
oct663520
9368870
10223056
11142649
12a9100
137a6b2
145b408
1546156
hex36750

223056 has 30 divisors (see below), whose sum is σ = 624650. Its totient is φ = 74304.

The previous prime is 223051. The next prime is 223061. The reversal of 223056 is 650322.

223056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223051) and next prime (223061).

It can be written as a sum of positive squares in only one way, i.e., 176400 + 46656 = 420^2 + 216^2 .

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

It is an Ulam number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223051) by changing a digit.

223056 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 5 ways as a sum of consecutive naturals, for example, 631 + ... + 918.

2223056 is an apocalyptic number.

It is an amenable number.

223056 is an abundant number, since it is smaller than the sum of its proper divisors (401594).

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

223056 is a wasteful number, since it uses less digits than its factorization.

223056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 223056 is about 472.2880476997. The cubic root of 223056 is about 60.6463456205.

Adding to 223056 its reverse (650322), we get a palindrome (873378).

The spelling of 223056 in words is "two hundred twenty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1549 3098 4647 6196 9294 12392 13941 18588 24784 27882 37176 55764 74352 111528 223056