Search a number
-
+
330003202221 = 33721161371737
BaseRepresentation
bin1001100110101011011…
…10010100000010101101
31011112210111020121202000
410303111232110002231
520401321304432341
6411333521522513
732561533636200
oct4632556240255
91145714217660
10330003202221
11117a542281a0
1253b594a3439
1325171a753c4
1411d87b81937
1588b671b8b6
hex4cd5b940ad

330003202221 has 96 divisors (see below), whose sum is σ = 630586604160. Its totient is φ = 168619449600.

The previous prime is 330003202219. The next prime is 330003202237. The reversal of 330003202221 is 122202300033.

It is a happy number.

330003202221 is a `hidden beast` number, since 3 + 300 + 0 + 320 + 22 + 21 = 666.

It is not a de Polignac number, because 330003202221 - 21 = 330003202219 is a prime.

It is a super-2 number, since 2×3300032022212 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330003202194 and 330003202203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330003202211) 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 95 ways as a sum of consecutive naturals, for example, 701865 + ... + 1073601.

It is an arithmetic number, because the mean of its divisors is an integer number (6568610460).

Almost surely, 2330003202221 is an apocalyptic number.

It is an amenable number.

330003202221 is a deficient number, since it is larger than the sum of its proper divisors (300583401939).

330003202221 is a wasteful number, since it uses less digits than its factorization.

330003202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371832 (or 371819 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 330003202221 its reverse (122202300033), we get a palindrome (452205502254).

The spelling of 330003202221 in words is "three hundred thirty billion, three million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 49 61 63 77 99 147 183 189 231 297 427 441 539 549 671 693 1281 1323 1617 1647 2013 2079 2989 3843 4697 4851 6039 8967 11529 14091 14553 18117 26901 32879 42273 80703 98637 126819 295911 371737 887733 1115211 2602159 3345633 4089107 7806477 10036899 12267321 18215113 22675957 23419431 28623749 36801963 54645339 68027871 70258293 85871247 110405889 158731699 163936017 200366243 204083613 249435527 257613741 476195097 491808051 601098729 612250839 748306581 772841223 1111121893 1428585291 1746048689 1803296187 2244919743 3333365679 4285755873 5238146067 5409888561 6734759229 10000097037 12222340823 15714438201 30000291111 36667022469 47143314603 110001067407 330003202221