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2422336140 = 2232578921601
BaseRepresentation
bin1001000001100001…
…1110101010001100
320020211001102111100
42100120132222030
514430104224030
61040211023100
7114012342330
oct22030365214
96224042440
102422336140
111033388aa4
1257729aa90
132c7b094c3
1418d9d57c0
15e29d9360
hex9061ea8c

2422336140 has 144 divisors (see below), whose sum is σ = 8492178240. Its totient is φ = 547430400.

The previous prime is 2422336097. The next prime is 2422336153. The reversal of 2422336140 is 416332242.

2422336140 is a `hidden beast` number, since 2 + 42 + 2 + 3 + 3 + 614 + 0 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 101340 + ... + 122940.

It is an arithmetic number, because the mean of its divisors is an integer number (58973460).

Almost surely, 22422336140 is an apocalyptic number.

2422336140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2422336140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4246089120).

2422336140 is an abundant number, since it is smaller than the sum of its proper divisors (6069842100).

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

2422336140 is a wasteful number, since it uses less digits than its factorization.

2422336140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21712 (or 21707 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2422336140 is about 49217.2341766581. The cubic root of 2422336140 is about 1343.0065668406.

Adding to 2422336140 its reverse (416332242), we get a palindrome (2838668382).

The spelling of 2422336140 in words is "two billion, four hundred twenty-two million, three hundred thirty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 89 90 105 126 140 178 180 210 252 267 315 356 420 445 534 623 630 801 890 1068 1246 1260 1335 1602 1780 1869 2492 2670 3115 3204 3738 4005 5340 5607 6230 7476 8010 9345 11214 12460 16020 18690 21601 22428 28035 37380 43202 56070 64803 86404 108005 112140 129606 151207 194409 216010 259212 302414 324015 388818 432020 453621 604828 648030 756035 777636 907242 972045 1296060 1360863 1512070 1814484 1922489 1944090 2268105 2721726 3024140 3844978 3888180 4536210 5443452 5767467 6804315 7689956 9072420 9612445 11534934 13457423 13608630 17302401 19224890 23069868 26914846 27217260 28837335 34604802 38449780 40372269 53829692 57674670 67287115 69209604 80744538 86512005 115349340 121116807 134574230 161489076 173024010 201861345 242233614 269148460 346048020 403722690 484467228 605584035 807445380 1211168070 2422336140