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224052520 = 23517329489
BaseRepresentation
bin11010101101011…
…00010100101000
3120121121001021111
431112230110220
5424324140040
634122120104
75360262226
oct1526542450
9517531244
10224052520
11105520a7a
1263050034
1337559173
1421a83b16
1514a0adea
hexd5ac528

224052520 has 32 divisors (see below), whose sum is σ = 533773800. Its totient is φ = 84348928.

The previous prime is 224052467. The next prime is 224052523. The reversal of 224052520 is 25250422.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 205234276 + 18818244 = 14326^2 + 4338^2 .

It is a junction number, because it is equal to n+sod(n) for n = 224052491 and 224052500.

It is not an unprimeable number, because it can be changed into a prime (224052523) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 164065 + ... + 165424.

Almost surely, 2224052520 is an apocalyptic number.

224052520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224052520 is an abundant number, since it is smaller than the sum of its proper divisors (309721280).

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

224052520 is a wasteful number, since it uses less digits than its factorization.

224052520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329517 (or 329513 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 224052520 is about 14968.3840143150. The cubic root of 224052520 is about 607.3652554436.

The spelling of 224052520 in words is "two hundred twenty-four million, fifty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 329489 658978 1317956 1647445 2635912 3294890 5601313 6589780 11202626 13179560 22405252 28006565 44810504 56013130 112026260 224052520