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224012394 = 232192712417
BaseRepresentation
bin11010101101000…
…10100001101010
3120121112000020100
431112202201222
5424321344034
634121210230
75360034234
oct1526424152
9517460210
10224012394
111054a3911
1263030976
1337543b18
1421a73254
15149ee099
hexd5a286a

224012394 has 48 divisors (see below), whose sum is σ = 513002880. Its totient is φ = 70450560.

The previous prime is 224012381. The next prime is 224012407. The reversal of 224012394 is 493210422.

224012394 is a `hidden beast` number, since 22 + 401 + 239 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (224012381) and next prime (224012407).

It is a super-2 number, since 2×2240123942 = 100363105331222472, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91474 + ... + 93890.

It is an arithmetic number, because the mean of its divisors is an integer number (10687560).

Almost surely, 2224012394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224012394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256501440).

224012394 is an abundant number, since it is smaller than the sum of its proper divisors (288990486).

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

224012394 is a wasteful number, since it uses less digits than its factorization.

224012394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 224012394 is about 14967.0435958475. The cubic root of 224012394 is about 607.3289952054.

The spelling of 224012394 in words is "two hundred twenty-four million, twelve thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 271 342 542 813 1626 2417 2439 4834 4878 5149 7251 10298 14502 15447 21753 30894 43506 45923 46341 91846 92682 137769 275538 413307 655007 826614 1310014 1965021 3930042 5895063 11790126 12445133 24890266 37335399 74670798 112006197 224012394