Search a number
-
+
333420220144220 = 2251141920183179213
BaseRepresentation
bin100101111001111100111000…
…1110010000101101001011100
31121201112122212102020202010112
41023303321301302011221130
5322200224102324103340
63141043045023025152
7130141546606545236
oct11363716162055134
91551478772222115
10333420220144220
11972687a302a240
123148b0a513b1b8
1311407512b78171
145c498a64ab256
1528830599c9065
hex12f3e71c85a5c

333420220144220 has 96 divisors (see below), whose sum is σ = 765700617991680. Its totient is φ = 120947684168960.

The previous prime is 333420220144169. The next prime is 333420220144259. The reversal of 333420220144220 is 22441022024333.

It is a super-4 number, since 4×3334202201442204 (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1860379334 + ... + 1860558546.

It is an arithmetic number, because the mean of its divisors is an integer number (7976048104080).

Almost surely, 2333420220144220 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 333420220144220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382850308995840).

333420220144220 is an abundant number, since it is smaller than the sum of its proper divisors (432280397847460).

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

333420220144220 is a wasteful number, since it uses less digits than its factorization.

333420220144220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199835 (or 199833 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 333420220144220 its reverse (22441022024333), we get a palindrome (355861242168553).

The spelling of 333420220144220 in words is "three hundred thirty-three trillion, four hundred twenty billion, two hundred twenty million, one hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 419 838 1676 2095 4190 4609 8380 9218 18436 20183 23045 40366 46090 80732 92180 100915 179213 201830 222013 358426 403660 444026 716852 888052 896065 1110065 1792130 1971343 2220130 3584260 3942686 4440260 7885372 8456677 9856715 16913354 19713430 33826708 39426860 42283385 75090247 84566770 93023447 150180494 169133540 186046894 300360988 372093788 375451235 465117235 750902470 825992717 930234470 1501804940 1651985434 1860468940 3303970868 3617055979 4129963585 7234111958 8259927170 14468223916 16519854340 18085279895 36170559790 39787615769 72341119580 79575231538 159150463076 198938078845 397876157690 795752315380 1515546455201 3031092910402 6062185820804 7577732276005 15155464552010 16671011007211 30310929104020 33342022014422 66684044028844 83355055036055 166710110072110 333420220144220