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22001433324 = 22313279891543
BaseRepresentation
bin10100011111011000…
…110011101011101100
32002210022120121121220
4110133120303223230
5330024331331244
614035103023340
71406134045323
oct243730635354
962708517556
1022001433324
119370265552
12432029ab50
1320c8234500
1410ca0350ba
1588b813319
hex51f633aec

22001433324 has 144 divisors (see below), whose sum is σ = 56962483200. Its totient is φ = 6604595712.

The previous prime is 22001433323. The next prime is 22001433331. The reversal of 22001433324 is 42333410022.

It is a junction number, because it is equal to n+sod(n) for n = 22001433294 and 22001433303.

It is not an unprimeable number, because it can be changed into a prime (22001433323) 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, 14258097 + ... + 14259639.

It is an arithmetic number, because the mean of its divisors is an integer number (395572800).

Almost surely, 222001433324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22001433324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28481241600).

22001433324 is an abundant number, since it is smaller than the sum of its proper divisors (34961049876).

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

22001433324 is a wasteful number, since it uses less digits than its factorization.

22001433324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 22001433324 its reverse (42333410022), we get a palindrome (64334843346).

The spelling of 22001433324 in words is "twenty-two billion, one million, four hundred thirty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 79 89 156 158 169 178 237 267 316 338 356 474 507 534 676 948 1014 1027 1068 1157 1543 2028 2054 2314 3081 3086 3471 4108 4628 4629 6162 6172 6942 7031 9258 12324 13351 13884 14062 15041 18516 20059 21093 26702 28124 30082 40053 40118 42186 45123 53404 60164 60177 80106 80236 84372 90246 91403 120354 121897 137327 160212 180492 182806 240708 243794 260767 274209 274654 365612 365691 411981 487588 521534 548418 549308 731382 782301 823962 1043068 1096836 1188239 1462764 1564602 1584661 1647924 1785251 2376478 3129204 3169322 3564717 3570502 4752956 4753983 5355753 6338644 7129434 7141004 9507966 10711506 10848833 14258868 19015932 20600593 21423012 21697666 23208263 32546499 41201186 43395332 46416526 61801779 65092998 69624789 82402372 92833052 123603558 130185996 139249578 141034829 247207116 278499156 282069658 423104487 564139316 846208974 1692417948 1833452777 3666905554 5500358331 7333811108 11000716662 22001433324