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224030000 = 245443521
BaseRepresentation
bin11010101101001…
…10110100110000
3120121112220101102
431112212310300
5424322430000
634121423532
75360136455
oct1526466460
9517486342
10224030000
11105506067
126303aba8
133754bb3c
1421a7982c
1514a043d5
hexd5a6d30

224030000 has 100 divisors (see below), whose sum is σ = 556078248. Its totient is φ = 87360000.

The previous prime is 224029997. The next prime is 224030011. The reversal of 224030000 is 30422.

224030000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 429740 + ... + 430260.

Almost surely, 2224030000 is an apocalyptic number.

224030000 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 224030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278039124).

224030000 is an abundant number, since it is smaller than the sum of its proper divisors (332048248).

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

224030000 is an equidigital number, since it uses as much as digits as its factorization.

224030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 224030000 is about 14967.6317431984. The cubic root of 224030000 is about 607.3449055664.

Adding to 224030000 its reverse (30422), we get a palindrome (224060422).

The spelling of 224030000 in words is "two hundred twenty-four million, thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 344 400 430 500 521 625 688 860 1000 1042 1075 1250 1720 2000 2084 2150 2500 2605 3440 4168 4300 5000 5210 5375 8336 8600 10000 10420 10750 13025 17200 20840 21500 22403 26050 26875 41680 43000 44806 52100 53750 65125 86000 89612 104200 107500 112015 130250 179224 208400 215000 224030 260500 325625 358448 430000 448060 521000 560075 651250 896120 1042000 1120150 1302500 1792240 2240300 2605000 2800375 4480600 5210000 5600750 8961200 11201500 14001875 22403000 28003750 44806000 56007500 112015000 224030000