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223848 = 23323109
BaseRepresentation
bin110110101001101000
3102101001200
4312221220
524130343
64444200
71621422
oct665150
9371050
10223848
111431a9
12a9660
137ab71
145b812
15464d3
hex36a68

223848 has 24 divisors (see below), whose sum is σ = 606450. Its totient is φ = 74592.

The previous prime is 223843. The next prime is 223849. The reversal of 223848 is 848322.

223848 is digitally balanced in base 2, 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., 213444 + 10404 = 462^2 + 102^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nialpdrome in base 6 and base 12.

It is not an unprimeable number, because it can be changed into a prime (223841) by changing a digit.

223848 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, 1483 + ... + 1626.

2223848 is an apocalyptic number.

It is an amenable number.

223848 is an abundant number, since it is smaller than the sum of its proper divisors (382602).

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

223848 is a wasteful number, since it uses less digits than its factorization.

223848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121 (or 3114 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 223848 is about 473.1257760892. The cubic root of 223848 is about 60.7180393791.

The spelling of 223848 in words is "two hundred twenty-three thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3109 6218 9327 12436 18654 24872 27981 37308 55962 74616 111924 223848