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224330212141212 = 2231736712487239957
BaseRepresentation
bin110011000000011011110010…
…100110110110100010011100
31002102021202111012012002022110
4303000123302212312202130
5213400411233302004322
62113035513213514020
765152215532256442
oct6300336246664234
91072252435162273
10224330212141212
11655299aa5280a1
12211b08461a2910
13982332c4aa678
143d578d69d0b92
151ae0524b1ec0c
hexcc06f29b689c

224330212141212 has 96 divisors (see below), whose sum is σ = 555784561317888. Its totient is φ = 70180426589184.

The previous prime is 224330212141201. The next prime is 224330212141213. The reversal of 224330212141212 is 212141212033422.

It is a self number, because there is not a number n which added to its sum of digits gives 224330212141212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224330212141213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 934756738 + ... + 934996694.

It is an arithmetic number, because the mean of its divisors is an integer number (5789422513728).

Almost surely, 2224330212141212 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 224330212141212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277892280658944).

224330212141212 is an abundant number, since it is smaller than the sum of its proper divisors (331454349176676).

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

224330212141212 is a wasteful number, since it uses less digits than its factorization.

224330212141212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252835 (or 252833 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 224330212141212 its reverse (212141212033422), we get a palindrome (436471424174634).

The spelling of 224330212141212 in words is "two hundred twenty-four trillion, three hundred thirty billion, two hundred twelve million, one hundred forty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 367 734 1101 1468 2202 4404 6239 12478 12487 18717 24956 24974 37434 37461 49948 74868 74922 149844 212279 239957 424558 479914 636837 719871 849116 959828 1273674 1439742 2547348 2879484 4079269 4582729 8158538 9165458 12237807 13748187 16317076 18330916 24475614 27496374 48951228 54992748 77906393 88064219 155812786 176128438 233719179 264192657 311625572 352256876 467438358 528385314 934876716 1056770628 1497091723 2994183446 2996343059 4491275169 5988366892 5992686118 8982550338 8989029177 11985372236 17965100676 17978058354 35956116708 50937832003 101875664006 152813496009 203751328012 305626992018 611253984036 1099657902653 2199315805306 3298973707959 4398631610612 6597947415918 13195894831836 18694184345101 37388368690202 56082553035303 74776737380404 112165106070606 224330212141212