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422212323212224 = 26191147130268859
BaseRepresentation
bin101111111111111111111011…
…1100010110111101111000000
32001100221002210202011012102121
41133333333313202313233000
5420320011314220242344
64053545355201254024
7154634555652000616
oct13777776742675700
92040832722135377
10422212323212224
11112591271445426
123b42b6b0934314
13151785b34b3b6c
147639284d4b6b6
1533c2aa122d684
hex17ffff78b7bc0

422212323212224 has 56 divisors (see below), whose sum is σ = 882000679276800. Its totient is φ = 199977869525760.

The previous prime is 422212323212191. The next prime is 422212323212257.

422212323212224 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (422212323212191) and next prime (422212323212257).

It is a self number, because there is not a number n which added to its sum of digits gives 422212323212224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1185694 + ... + 29083165.

Almost surely, 2422212323212224 is an apocalyptic number.

It is an amenable number.

422212323212224 is an abundant number, since it is smaller than the sum of its proper divisors (459788356064576).

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

422212323212224 is a wasteful number, since it uses less digits than its factorization.

422212323212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30280361 (or 30280351 counting only the distinct ones).

The product of its digits is 73728, while the sum is 34.

The spelling of 422212323212224 in words is "four hundred twenty-two trillion, two hundred twelve billion, three hundred twenty-three million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 1216 11471 22942 45884 91768 183536 217949 367072 435898 734144 871796 1743592 3487184 6974368 13948736 30268859 60537718 121075436 242150872 484301744 575108321 968603488 1150216642 1937206976 2300433284 4600866568 9201733136 18403466272 36806932544 347214081589 694428163178 1388856326356 2777712652712 5555425305424 6597067550191 11110850610848 13194135100382 22221701221696 26388270200764 52776540401528 105553080803056 211106161606112 422212323212224