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224280 = 23325789
BaseRepresentation
bin110110110000011000
3102101122200
4312300120
524134110
64450200
71622610
oct666030
9371580
10224280
11143561
12a9960
137b114
145ba40
15466c0
hex36c18

224280 has 96 divisors (see below), whose sum is σ = 842400. Its totient is φ = 50688.

The previous prime is 224267. The next prime is 224291. The reversal of 224280 is 82422.

224280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

224280 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, 2476 + ... + 2564.

It is an arithmetic number, because the mean of its divisors is an integer number (8775).

2224280 is an apocalyptic number.

224280 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 224280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421200).

224280 is an abundant number, since it is smaller than the sum of its proper divisors (618120).

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

224280 is a wasteful number, since it uses less digits than its factorization.

224280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 224280 is about 473.5820942561. The cubic root of 224280 is about 60.7570738092.

The spelling of 224280 in words is "two hundred twenty-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 89 90 105 120 126 140 168 178 180 210 252 267 280 315 356 360 420 445 504 534 623 630 712 801 840 890 1068 1246 1260 1335 1602 1780 1869 2136 2492 2520 2670 3115 3204 3560 3738 4005 4984 5340 5607 6230 6408 7476 8010 9345 10680 11214 12460 14952 16020 18690 22428 24920 28035 32040 37380 44856 56070 74760 112140 224280