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422141224 = 23596131459
BaseRepresentation
bin11001001010010…
…101110100101000
31002102022222220011
4121022111310220
51331032004344
6105515541304
713314066301
oct3112256450
91072288804
10422141224
111a7318a4a
12b945a834
13695c450b
14400c97a8
15270d8d34
hex19295d28

422141224 has 32 divisors (see below), whose sum is σ = 806796000. Its totient is φ = 207012672.

The previous prime is 422141201. The next prime is 422141227.

422141224 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 422141195 and 422141204.

It is not an unprimeable number, because it can be changed into a prime (422141227) 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, 288607 + ... + 290065.

It is an arithmetic number, because the mean of its divisors is an integer number (25212375).

Almost surely, 2422141224 is an apocalyptic number.

It is an amenable number.

422141224 is a deficient number, since it is larger than the sum of its proper divisors (384654776).

422141224 is a wasteful number, since it uses less digits than its factorization.

422141224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2133 counting only the distinct ones).

The product of its digits is 1024, while the sum is 22.

The square root of 422141224 is about 20546.0756350209. The cubic root of 422141224 is about 750.1577291967.

The spelling of 422141224 in words is "four hundred twenty-two million, one hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 59 118 236 472 613 1226 1459 2452 2918 4904 5836 11672 36167 72334 86081 144668 172162 289336 344324 688648 894367 1788734 3577468 7154936 52767653 105535306 211070612 422141224