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223048 = 2372569
BaseRepresentation
bin110110011101001000
3102022222001
4312131020
524114143
64440344
71616200
oct663510
9368861
10223048
11142641
12a90b4
137a6a7
145b400
154614d
hex36748

223048 has 24 divisors (see below), whose sum is σ = 487350. Its totient is φ = 95424.

The previous prime is 223037. The next prime is 223049. The reversal of 223048 is 840322.

It is a happy number.

223048 is nontrivially palindromic in base 13.

223048 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 + 9604 = 462^2 + 98^2 .

It is not an unprimeable number, because it can be changed into a prime (223049) by changing a digit.

223048 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, 108 + ... + 676.

2223048 is an apocalyptic number.

223048 is a gapful number since it is divisible by the number (28) 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 223048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243675).

223048 is an abundant number, since it is smaller than the sum of its proper divisors (264302).

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

223048 is a wasteful number, since it uses less digits than its factorization.

223048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 223048 is about 472.2795782161. The cubic root of 223048 is about 60.6456205761.

It can be divided in two parts, 2230 and 48, that added together give a triangular number (2278 = T67).

The spelling of 223048 in words is "two hundred twenty-three thousand, forty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 569 1138 2276 3983 4552 7966 15932 27881 31864 55762 111524 223048