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221113332012232 = 23112615039743131
BaseRepresentation
bin110010010001100111110101…
…100111000001010011001000
31001222220020011021200201120201
4302101213311213001103020
5212440210100443342412
62102134021252301544
764400624331320332
oct6221476547012310
91058806137621521
10221113332012232
11644a9701565500
12209712b36118b4
13964bb894484ca
143c85d29c1c452
151a869ea05be57
hexc919f59c14c8

221113332012232 has 96 divisors (see below), whose sum is σ = 463266705283200. Its totient is φ = 98838668016000.

The previous prime is 221113332012229. The next prime is 221113332012343. The reversal of 221113332012232 is 232210233311122.

It is a super-2 number, since 2×2211133320122322 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221113332012232.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297171307 + ... + 297914437.

It is an arithmetic number, because the mean of its divisors is an integer number (4825694846700).

Almost surely, 2221113332012232 is an apocalyptic number.

221113332012232 is a gapful number since it is divisible by the number (22) 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 221113332012232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231633352641600).

221113332012232 is an abundant number, since it is smaller than the sum of its proper divisors (242153373270968).

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

221113332012232 is a wasteful number, since it uses less digits than its factorization.

221113332012232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748259 (or 748244 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 221113332012232 its reverse (232210233311122), we get a palindrome (453323565323354).

The spelling of 221113332012232 in words is "two hundred twenty-one trillion, one hundred thirteen billion, three hundred thirty-two million, twelve thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 61 88 121 122 242 244 484 488 671 968 1342 2684 5039 5368 7381 10078 14762 20156 29524 40312 55429 59048 110858 221716 307379 443432 609719 614758 743131 1219438 1229516 1486262 2438876 2459032 2972524 3381169 4877752 5945048 6762338 8174441 13524676 16348882 27049352 32697764 37192859 45330991 65395528 74385718 89918851 90661982 148771436 179837702 181323964 297542872 359675404 362647928 498640901 719350808 997281802 1994563604 3744637109 3989127208 5485049911 7489274218 10970099822 14978548436 21940199644 29957096872 41191008199 43880399288 82382016398 164764032796 228422863649 329528065592 453101090189 456845727298 906202180378 913691454596 1812404360756 1827382909192 2512651500139 3624808721512 5025303000278 10050606000556 20101212001112 27639166501529 55278333003058 110556666006116 221113332012232