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422311323113224 = 231723896072499121
BaseRepresentation
bin110000000000101110000010…
…0011001100001011100001000
32001101021120100012221020202121
41200001130010121201130020
5420323122042204110344
64054103051000541024
7154644662163163606
oct14001340431413410
92041246305836677
10422311323113224
1111261a25429a326
123b44691b781774
1315184a2ca5033c
14763dd97236876
1533c5447767684
hex1801704661708

422311323113224 has 128 divisors (see below), whose sum is σ = 886152673843200. Its totient is φ = 187648484474880.

The previous prime is 422311323113129. The next prime is 422311323113231.

422311323113224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 422311323113224.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167734384 + ... + 170233504.

It is an arithmetic number, because the mean of its divisors is an integer number (6923067764400).

Almost surely, 2422311323113224 is an apocalyptic number.

It is an amenable number.

422311323113224 is an abundant number, since it is smaller than the sum of its proper divisors (463841350729976).

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

422311323113224 is a wasteful number, since it uses less digits than its factorization.

422311323113224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499863 (or 2499859 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

The spelling of 422311323113224 in words is "four hundred twenty-two trillion, three hundred eleven billion, three hundred twenty-three million, one hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 17 23 34 46 68 89 92 136 178 184 356 391 607 712 782 1214 1513 1564 2047 2428 3026 3128 4094 4856 6052 8188 10319 12104 13961 16376 20638 27922 34799 41276 54023 55844 69598 82552 108046 111688 139196 216092 237337 278392 432184 474674 918391 949348 1242529 1836782 1898696 2485058 2499121 3673564 4970116 4998242 7347128 9940232 9996484 19992968 21122993 42245986 42485057 57479783 84491972 84970114 114959566 168983944 169940228 222421769 229919132 339880456 444843538 459838264 889687076 977156311 1516966447 1779374152 1954312622 3033932894 3781170073 3908625244 5115700687 6067865788 7562340146 7817250488 10231401374 12135731576 15124680292 20462802748 25788429599 30249360584 34890228281 40925605496 51576859198 69780456562 86966911679 103153718396 135010013783 139560913124 173933823358 206307436792 270020027566 279121826248 347867646716 540040055132 593133880777 695735293432 1080080110264 1186267761554 2295170234311 2372535523108 3105230317009 4590340468622 4745071046216 6210460634018 9180680937244 12420921268036 18361361874488 24841842536072 52788915389153 105577830778306 211155661556612 422311323113224