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224290816 = 211109517
BaseRepresentation
bin11010101111001…
…10100000000000
3120122001011011021
431113212200000
5424404301231
634131155224
75362304041
oct1527464000
9518034137
10224290816
11105674012
1263145b14
1337610779
1421b068c8
1514a56811
hexd5e6800

224290816 has 24 divisors (see below), whose sum is σ = 448476210. Its totient is φ = 112144384.

The previous prime is 224290813. The next prime is 224290831. The reversal of 224290816 is 618092422.

It can be written as a sum of positive squares in only one way, i.e., 221414400 + 2876416 = 14880^2 + 1696^2 .

It is not an unprimeable number, because it can be changed into a prime (224290811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52711 + ... + 56806.

Almost surely, 2224290816 is an apocalyptic number.

It is an amenable number.

224290816 is a deficient number, since it is larger than the sum of its proper divisors (224185394).

224290816 is an equidigital number, since it uses as much as digits as its factorization.

224290816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109539 (or 109519 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 224290816 is about 14976.3418764397. The cubic root of 224290816 is about 607.5805047224.

The spelling of 224290816 in words is "two hundred twenty-four million, two hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 109517 219034 438068 876136 1752272 3504544 7009088 14018176 28036352 56072704 112145408 224290816