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422110023324 = 2231117243125673
BaseRepresentation
bin1100010010001111011…
…01111100111010011100
31111100112120110221002120
412021013231330322130
523403440131221244
6521525322422540
742332164666263
oct6110755747234
91440476427076
10422110023324
1115301a116150
1269983961a50
1330a60203192
14166047c35da
15aea7a0b819
hex6247b7ce9c

422110023324 has 144 divisors (see below), whose sum is σ = 1144076161536. Its totient is φ = 120103884800.

The previous prime is 422110023301. The next prime is 422110023329. The reversal of 422110023324 is 423320011224.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 422110023294 and 422110023303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422110023329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16428952 + ... + 16454624.

It is an arithmetic number, because the mean of its divisors is an integer number (7944973344).

Almost surely, 2422110023324 is an apocalyptic number.

422110023324 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 422110023324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572038080768).

422110023324 is an abundant number, since it is smaller than the sum of its proper divisors (721966138212).

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

422110023324 is a wasteful number, since it uses less digits than its factorization.

422110023324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26156 (or 26137 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 422110023324 its reverse (423320011224), we get a palindrome (845430034548).

It can be divided in two parts, 4221100 and 23324, that added together give a palindrome (4244424).

The spelling of 422110023324 in words is "four hundred twenty-two billion, one hundred ten million, twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 289 374 431 561 578 748 862 867 1122 1156 1293 1724 1734 2244 2586 3179 3468 4741 5172 6358 7327 9482 9537 12716 14223 14654 18964 19074 21981 25673 28446 29308 38148 43962 51346 56892 77019 80597 87924 102692 124559 154038 161194 241791 249118 282403 308076 322388 373677 436441 483582 498236 564806 747354 847209 872882 967164 1129612 1309323 1370149 1494708 1694418 1745764 2618646 2740298 3388836 4110447 4800851 5237292 5480596 7419497 8220894 9601702 11065063 14402553 14838994 16441788 19203404 22130126 22258491 28805106 29677988 33195189 44260252 44516982 57610212 66390378 81614467 89033964 121715693 132780756 163228934 188106071 243431386 244843401 326457868 365147079 376212142 486862772 489686802 564318213 730294158 752424284 979373604 1128636426 1460588316 2069166781 2257272852 3197803207 4138333562 6207500343 6395606414 8276667124 9593409621 12415000686 12791212828 19186819242 24830001372 35175835277 38373638484 70351670554 105527505831 140703341108 211055011662 422110023324