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422253343352224 = 25731371790973673
BaseRepresentation
bin110000000000010011000010…
…0100010010010010110100000
32001101002000200111210012221001
41200000212010202102112200
5420321144321344232344
64054020301421241344
7154640540324303536
oct14000460442222640
92041060614705831
10422253343352224
111125a770122277a
123b43763a403254
131517c41ca05657
14763b256bca156
1533c3ba2573ed4
hex18009848925a0

422253343352224 has 96 divisors (see below), whose sum is σ = 848909104097040. Its totient is φ = 206700217270272.

The previous prime is 422253343352209. The next prime is 422253343352273.

422253343352224 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 323498642100624 + 98754701251600 = 17986068^2 + 9937540^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5731416252 + ... + 5731489924.

Almost surely, 2422253343352224 is an apocalyptic number.

It is an amenable number.

422253343352224 is an abundant number, since it is smaller than the sum of its proper divisors (426655760744816).

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

422253343352224 is a wasteful number, since it uses less digits than its factorization.

422253343352224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91802 (or 91794 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 46.

The spelling of 422253343352224 in words is "four hundred twenty-two trillion, two hundred fifty-three billion, three hundred forty-three million, three hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 73 137 146 274 292 548 584 1096 1168 2192 2336 4384 10001 17909 20002 35818 40004 71636 73673 80008 143272 147346 160016 286544 294692 320032 573088 589384 1178768 1307357 2357536 2453533 2614714 4907066 5229428 5378129 9814132 10093201 10458856 10756258 19628264 20186402 20917712 21512516 39256528 40372804 41835424 43025032 78513056 80745608 86050064 161491216 172100128 179107909 322982432 358215818 716431636 736803673 1319409757 1432863272 1473607346 2638819514 2865726544 2947214692 5277639028 5731453088 5894429384 10555278056 11788858768 21110556112 23577717536 42221112224 96316912261 180759136709 192633824522 361518273418 385267649044 723036546836 770535298088 1446073093672 1541070596176 2892146187344 3082141192352 5784292374688 13195416979757 26390833959514 52781667919028 105563335838056 211126671676112 422253343352224