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223104 = 273783
BaseRepresentation
bin110110011110000000
3102100001010
4312132000
524114404
64440520
71616310
oct663600
9370033
10223104
11142692
12a9140
137a71b
145b440
1546189
hex36780

223104 has 64 divisors (see below), whose sum is σ = 685440. Its totient is φ = 62976.

The previous prime is 223103. The next prime is 223129. The reversal of 223104 is 401322.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×2231043 = 33315269055086592, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 223104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2647 + ... + 2729.

It is an arithmetic number, because the mean of its divisors is an integer number (10710).

2223104 is an apocalyptic number.

223104 is a gapful number since it is divisible by the number (24) 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 223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342720).

223104 is an abundant number, since it is smaller than the sum of its proper divisors (462336).

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

223104 is an equidigital number, since it uses as much as digits as its factorization.

223104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 223104 is about 472.3388614120. The cubic root of 223104 is about 60.6506955234.

Adding to 223104 its reverse (401322), we get a palindrome (624426).

The spelling of 223104 in words is "two hundred twenty-three thousand, one hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 83 84 96 112 128 166 168 192 224 249 332 336 384 448 498 581 664 672 896 996 1162 1328 1344 1743 1992 2324 2656 2688 3486 3984 4648 5312 6972 7968 9296 10624 13944 15936 18592 27888 31872 37184 55776 74368 111552 223104