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8442270180 = 22325109430289
BaseRepresentation
bin1111101110011001…
…01101000111100100
3210210100121202112100
413313030231013210
5114242210121210
63513415052100
7416131053411
oct76714550744
923710552470
108442270180
1136424945a3
121777371030
13a47064656
145a1313108
1534625d5c0
hex1f732d1e4

8442270180 has 72 divisors (see below), whose sum is σ = 25843217400. Its totient is φ = 2230612992.

The previous prime is 8442270173. The next prime is 8442270181. The reversal of 8442270180 is 810722448.

It can be written as a sum of positive squares in 4 ways, for example, as 143424576 + 8298845604 = 11976^2 + 91098^2 .

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 (8442270181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195525 + ... + 234764.

It is an arithmetic number, because the mean of its divisors is an integer number (358933575).

Almost surely, 28442270180 is an apocalyptic number.

It is an amenable number.

8442270180 is an abundant number, since it is smaller than the sum of its proper divisors (17400947220).

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

8442270180 is a wasteful number, since it uses less digits than its factorization.

8442270180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430413 (or 430408 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 8442270180 is about 91881.8272565364. The cubic root of 8442270180 is about 2036.1967923357.

The spelling of 8442270180 in words is "eight billion, four hundred forty-two million, two hundred seventy thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 981 1090 1308 1635 1962 2180 3270 3924 4905 6540 9810 19620 430289 860578 1290867 1721156 2151445 2581734 3872601 4302890 5163468 6454335 7745202 8605780 12908670 15490404 19363005 25817340 38726010 46901501 77452020 93803002 140704503 187606004 234507505 281409006 422113509 469015010 562818012 703522515 844227018 938030020 1407045030 1688454036 2110567545 2814090060 4221135090 8442270180