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20232332312220 = 22325719845126663
BaseRepresentation
bin1001001100110101101001…
…11110101111111010011100
32122122012012000200211102100
410212122310332233322130
510122441304032442340
6111010334413525100
74155511025054550
oct446326476577234
978565160624370
1020232332312220
1164a0536152a26
1223291b31a3790
13b39b92c446b2
144dd370427860
15251451a89830
hex1266b4fafe9c

20232332312220 has 144 divisors (see below), whose sum is σ = 73830265367040. Its totient is φ = 4381136615808.

The previous prime is 20232332312189. The next prime is 20232332312221. The reversal of 20232332312220 is 2221323323202.

20232332312220 is a `hidden beast` number, since 2 + 0 + 2 + 323 + 3 + 2 + 312 + 2 + 20 = 666.

It is a super-2 number, since 2×202323323122202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20232332312221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422539392 + ... + 422587271.

It is an arithmetic number, because the mean of its divisors is an integer number (512710176160).

Almost surely, 220232332312220 is an apocalyptic number.

20232332312220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20232332312220 is an abundant number, since it is smaller than the sum of its proper divisors (53597933054820).

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

20232332312220 is a wasteful number, since it uses less digits than its factorization.

20232332312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845126704 (or 845126699 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 20232332312220 its reverse (2221323323202), we get a palindrome (22453655635422).

The spelling of 20232332312220 in words is "twenty trillion, two hundred thirty-two billion, three hundred thirty-two million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1995 2394 2660 3420 3990 4788 5985 7980 11970 23940 845126663 1690253326 2535379989 3380506652 4225633315 5070759978 5915886641 7606139967 8451266630 10141519956 11831773282 12676899945 15212279934 16057406597 16902533260 17747659923 23663546564 25353799890 29579433205 30424559868 32114813194 35495319846 38030699835 48172219791 50707599780 53242979769 59158866410 64229626388 70990639692 76061399670 80287032985 88738299615 96344439582 106485959538 112401846179 118317732820 144516659373 152122799340 160574065970 177476599230 192688879164 212971919076 224803692358 240861098955 266214898845 289033318746 321148131940 337205538537 354953198460 449607384716 481722197910 532429797690 562009230895 578066637492 674411077074 722583296865 963444395820 1011616615611 1064859595380 1124018461790 1348822154148 1445166593730 1686027692685 2023233231222 2248036923580 2890333187460 3372055385370 4046466462444 5058083078055 6744110770740 10116166156110 20232332312220