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223080 = 233511132
BaseRepresentation
bin110110011101101000
3102100000020
4312131220
524114310
64440440
71616244
oct663550
9370006
10223080
11142670
12a9120
137a700
145b424
1546170
hex36768

223080 has 96 divisors (see below), whose sum is σ = 790560. Its totient is φ = 49920.

The previous prime is 223063. The next prime is 223087. The reversal of 223080 is 80322.

It is a super-3 number, since 3×2230803 = 33304518726336000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223087) by changing a digit.

223080 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 23 ways as a sum of consecutive naturals, for example, 17154 + ... + 17166.

It is an arithmetic number, because the mean of its divisors is an integer number (8235).

2223080 is an apocalyptic number.

223080 is a gapful number since it is divisible by the number (20) 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 223080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395280).

223080 is an abundant number, since it is smaller than the sum of its proper divisors (567480).

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

223080 is a wasteful number, since it uses less digits than its factorization.

223080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 223080 is about 472.3134552392. The cubic root of 223080 is about 60.6485206500.

The spelling of 223080 in words is "two hundred twenty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 169 195 220 260 264 286 312 330 338 390 429 440 507 520 572 660 676 715 780 845 858 1014 1144 1320 1352 1430 1560 1690 1716 1859 2028 2145 2535 2860 3380 3432 3718 4056 4290 5070 5577 5720 6760 7436 8580 9295 10140 11154 14872 17160 18590 20280 22308 27885 37180 44616 55770 74360 111540 223080