Search a number
-
+
23332013012220 = 223511217189045641
BaseRepresentation
bin1010100111000011010000…
…10110001111010011111100
310001121112000002210022212020
411103201220112033103330
511024232430312342340
6121342325004440140
74625453014225443
oct523415026172374
9101545002708766
1023332013012220
117486062098a00
122749a97b49050
131003279089603
145a93bdbc5d5a
152a6dbc4959d0
hex15386858f4fc

23332013012220 has 144 divisors (see below), whose sum is σ = 76032644847264. Its totient is φ = 5323525222400.

The previous prime is 23332013012213. The next prime is 23332013012221. The reversal of 23332013012220 is 2221031023332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23332013012221) 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 47 ways as a sum of consecutive naturals, for example, 94399401 + ... + 94646240.

It is an arithmetic number, because the mean of its divisors is an integer number (528004478106).

Almost surely, 223332013012220 is an apocalyptic number.

23332013012220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23332013012220 is an abundant number, since it is smaller than the sum of its proper divisors (52700631835044).

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

23332013012220 is a wasteful number, since it uses less digits than its factorization.

23332013012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189045692 (or 189045679 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 23332013012220 its reverse (2221031023332), we get a palindrome (25553044035552).

The spelling of 23332013012220 in words is "twenty-three trillion, three hundred thirty-two billion, thirteen million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 121 132 165 170 187 204 220 242 255 330 340 363 374 484 510 561 605 660 726 748 935 1020 1122 1210 1452 1815 1870 2057 2244 2420 2805 3630 3740 4114 5610 6171 7260 8228 10285 11220 12342 20570 24684 30855 41140 61710 123420 189045641 378091282 567136923 756182564 945228205 1134273846 1890456410 2079502051 2268547692 2835684615 3213775897 3780912820 4159004102 5671369230 6238506153 6427551794 8318008204 9641327691 10397510255 11342738460 12477012306 12855103588 16068879485 19282655382 20795020510 22874522561 24954024612 31192530765 32137758970 35351534867 38565310764 41590041020 45749045122 48206638455 62385061530 64275517940 68623567683 70703069734 91498090244 96413276910 106054604601 114372612805 124770123060 137247135366 141406139468 176757674335 192826553820 212109209202 228745225610 274494270732 343117838415 353515348670 388866883537 424218418404 457490451220 530273023005 686235676830 707030697340 777733767074 1060546046010 1166600650611 1372471353660 1555467534148 1944334417685 2121092092020 2333201301222 3888668835370 4666402602444 5833003253055 7777337670740 11666006506110 23332013012220