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224378112 = 283741737
BaseRepresentation
bin11010101111110…
…11110100000000
3120122012120220110
431113323310000
5424420044422
634133111320
75363116410
oct1527736400
9518176813
10224378112
11105723662
1263188540
133764141a
1421b2a640
1514a7260c
hexd5fbd00

224378112 has 72 divisors (see below), whose sum is σ = 682499776. Its totient is φ = 64106496.

The previous prime is 224378107. The next prime is 224378113. The reversal of 224378112 is 211873422.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 224378112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224378113) 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, 15493 + ... + 26244.

Almost surely, 2224378112 is an apocalyptic number.

It is an amenable number.

224378112 is an abundant number, since it is smaller than the sum of its proper divisors (458121664).

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

224378112 is an equidigital number, since it uses as much as digits as its factorization.

224378112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41763 (or 41749 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 224378112 is about 14979.2560562933. The cubic root of 224378112 is about 607.6593197612.

The spelling of 224378112 in words is "two hundred twenty-four million, three hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 41737 83474 125211 166948 250422 292159 333896 500844 584318 667792 876477 1001688 1168636 1335584 1752954 2003376 2337272 2671168 3505908 4006752 4674544 5342336 7011816 8013504 9349088 10684672 14023632 16027008 18698176 28047264 32054016 37396352 56094528 74792704 112189056 224378112