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422321303123224 = 23101811985165423
BaseRepresentation
bin110000000000110010101011…
…1010000001111010100011000
32001101022112002202002021202121
41200001211113100033110120
5420323303012044420344
64054111421151111024
7154645464405650641
oct14001452720172430
92041275082067677
10422321303123224
111126235057a057a
123b448845b12474
131518596055babb
1476406628746c8
1533c582d9c7684
hex180195740f518

422321303123224 has 64 divisors (see below), whose sum is σ = 800772142625280. Its totient is φ = 208787770800000.

The previous prime is 422321303123221. The next prime is 422321303123263.

It is a happy number.

422321303123224 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 422321303123224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422321303123221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6455209377 + ... + 6455274799.

It is an arithmetic number, because the mean of its divisors is an integer number (12512064728520).

Almost surely, 2422321303123224 is an apocalyptic number.

It is an amenable number.

422321303123224 is a deficient number, since it is larger than the sum of its proper divisors (378450839502056).

422321303123224 is a wasteful number, since it uses less digits than its factorization.

422321303123224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76192 (or 76188 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 42232130 and 3123224, that added together give a palindrome (45355354).

The spelling of 422321303123224 in words is "four hundred twenty-two trillion, three hundred twenty-one billion, three hundred three million, one hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 101 202 404 808 811 1622 3244 6488 9851 19702 39404 65423 78808 81911 130846 163822 261692 327644 523384 655288 994951 1989902 3979804 6607723 7959608 7989161 13215446 15978322 26430892 31956644 52861784 53058053 63913288 106116106 212232212 424464424 644481973 806905261 1288963946 1613810522 2577927892 3227621044 5155855784 5358863353 6455242088 10717726706 21435453412 42870906824 65092679273 130185358546 260370717092 520741434184 522674880103 1045349760206 2090699520412 4181399040824 52790162890403 105580325780806 211160651561612 422321303123224