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290221424712 = 2334211632
BaseRepresentation
bin1000011100100101000…
…10111000000001001000
31000202010000210221020000
410032102202320001020
514223333141042322
6341154220203000
726652646256442
oct4162242700110
91022100727200
10290221424712
1110209a478a1a
12482b6699460
13214a1c8a49b
141009257b492
157838e8d3ac
hex43928b8048

290221424712 has 60 divisors (see below), whose sum is σ = 812927125395. Its totient is φ = 96735903696.

The previous prime is 290221424707. The next prime is 290221424719. The reversal of 290221424712 is 217424122092.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

290221424712 is a `hidden beast` number, since 2 + 9 + 0 + 221 + 424 + 7 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 145110712356 + 145110712356 = 380934^2 + 380934^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=380934.

It is a super-3 number, since 3×2902214247123 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (290221424719) 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 14 ways as a sum of consecutive naturals, for example, 13703043 + ... + 13724205.

Almost surely, 2290221424712 is an apocalyptic number.

It is an amenable number.

290221424712 is an abundant number, since it is smaller than the sum of its proper divisors (522705700683).

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

290221424712 is an frugal number, since it uses more digits than its factorization.

290221424712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42344 (or 21168 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 290221424712 in words is "two hundred ninety billion, two hundred twenty-one million, four hundred twenty-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 21163 42326 63489 84652 126978 169304 190467 253956 380934 507912 571401 761868 1142802 1523736 1714203 2285604 3428406 4571208 6856812 13713624 447872569 895745138 1343617707 1791490276 2687235414 3582980552 4030853121 5374470828 8061706242 10748941656 12092559363 16123412484 24185118726 32246824968 36277678089 48370237452 72555356178 96740474904 145110712356 290221424712