Search a number
-
+
221330102032 = 241319719927143
BaseRepresentation
bin1100111000100001001…
…1010101011100010000
3210011021212122010201101
43032020103111130100
512111241001231112
6245402212114144
721663523553254
oct3161023253420
9704255563641
10221330102032
11859580885a6
1236a8b005954
1317b43441320
14a9d8cc2264
155b55d79757
hex33884d5710

221330102032 has 80 divisors (see below), whose sum is σ = 466507641600. Its totient is φ = 101119366656.

The previous prime is 221330102009. The next prime is 221330102083. The reversal of 221330102032 is 230201033122.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8140653 + ... + 8167795.

It is an arithmetic number, because the mean of its divisors is an integer number (5831345520).

Almost surely, 2221330102032 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 221330102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233253820800).

221330102032 is an abundant number, since it is smaller than the sum of its proper divisors (245177539568).

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

221330102032 is a wasteful number, since it uses less digits than its factorization.

221330102032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27560 (or 27554 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 221330102032 its reverse (230201033122), we get a palindrome (451531135154).

The spelling of 221330102032 in words is "two hundred twenty-one billion, three hundred thirty million, one hundred two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 197 199 208 394 398 788 796 1576 1592 2561 2587 3152 3184 5122 5174 10244 10348 20488 20696 27143 39203 40976 41392 54286 78406 108572 156812 217144 313624 352859 434288 509639 627248 705718 1019278 1411436 2038556 2822872 4077112 5347171 5401457 5645744 8154224 10694342 10802914 21388684 21605828 42777368 43211656 69513223 70218941 85554736 86423312 139026446 140437882 278052892 280875764 556105784 561751528 1064087029 1112211568 1123503056 2128174058 4256348116 8512696232 13833131377 17025392464 27666262754 55332525508 110665051016 221330102032