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422324343423224 = 231126167191064477
BaseRepresentation
bin110000000000110100000110…
…0011110000100000011111000
32001101022210221121221112022022
41200001220030132010003320
5420323330223404020344
64054113042555214012
7154645632634041224
oct14001501436040370
92041283847845268
10422324343423224
11112624825986a00
123b449354147308
13151860263b3598
14764087056b784
1533c595a87c0ee
hex1801a0c7840f8

422324343423224 has 96 divisors (see below), whose sum is σ = 884790707270400. Its totient is φ = 188790353875200.

The previous prime is 422324343423209. The next prime is 422324343423287.

422324343423224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396211274 + ... + 397275750.

It is an arithmetic number, because the mean of its divisors is an integer number (9216569867400).

Almost surely, 2422324343423224 is an apocalyptic number.

422324343423224 is a gapful number since it is divisible by the number (44) 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 422324343423224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442395353635200).

422324343423224 is an abundant number, since it is smaller than the sum of its proper divisors (462466363847176).

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

422324343423224 is a wasteful number, since it uses less digits than its factorization.

422324343423224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071285 (or 1071270 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 44.

The spelling of 422324343423224 in words is "four hundred twenty-two trillion, three hundred twenty-four billion, three hundred forty-three million, four hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 61 88 121 122 242 244 484 488 671 968 1342 2684 5368 6719 7381 13438 14762 26876 29524 53752 59048 73909 147818 295636 409859 591272 812999 819718 1064477 1625998 1639436 2128954 3251996 3278872 4257908 4508449 6503992 8515816 9016898 11709247 18033796 23418494 36067592 46836988 49592939 64933097 93673976 99185878 128801717 129866194 198371756 257603434 259732388 396743512 515206868 519464776 714264067 1030413736 1428528134 2857056268 5714112536 7152220963 7856904737 14304441926 15713809474 28608883852 31427618948 57217767704 62855237896 78674430593 157348861186 314697722372 436285478743 629395444744 865418736523 872570957486 1730837473046 1745141914972 3461674946092 3490283829944 4799140266173 6923349892184 9598280532346 19196561064692 38393122129384 52790542927903 105581085855806 211162171711612 422324343423224