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22231323130032 = 2432673272984059
BaseRepresentation
bin1010000111000001000100…
…00111100011100010110000
32220201021221010120220200100
411003200202013203202300
510403214222210130112
6115140532344352400
74453105624466532
oct503404207434260
986637833526610
1022231323130032
1170a1284379245
1225b06b5175700
13c535353a5333
1456c004c59852
1528844b1702dc
hex1438221e38b0

22231323130032 has 120 divisors (see below), whose sum is σ = 62332848723600. Its totient is φ = 7396630585344.

The previous prime is 22231323129989. The next prime is 22231323130033. The reversal of 22231323130032 is 23003132313222.

22231323130032 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 1 + 323 + 1 + 300 + 32 = 666.

It is a super-2 number, since 2×222313231300322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22231323129978 and 22231323130005.

It is not an unprimeable number, because it can be changed into a prime (22231323130033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264430819 + ... + 264514877.

It is an arithmetic number, because the mean of its divisors is an integer number (519440406030).

Almost surely, 222231323130032 is an apocalyptic number.

It is an amenable number.

22231323130032 is an abundant number, since it is smaller than the sum of its proper divisors (40101525593568).

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

22231323130032 is a wasteful number, since it uses less digits than its factorization.

22231323130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87475 (or 87466 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 22231323130032 its reverse (23003132313222), we get a palindrome (45234455443254).

The spelling of 22231323130032 in words is "twenty-two trillion, two hundred thirty-one billion, three hundred twenty-three million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 673 1346 2019 2692 2729 4038 5384 5458 6057 8076 8187 10768 10916 12114 16152 16374 21832 24228 24561 32304 32748 43664 48456 49122 65496 84059 96912 98244 130992 168118 196488 252177 336236 392976 504354 672472 756531 1008708 1344944 1513062 1836617 2017416 3026124 3673234 4034832 5509851 6052248 7346468 11019702 12104496 14692936 16529553 22039404 29385872 33059106 44078808 56571707 66118212 88157616 113143414 132236424 169715121 226286828 229397011 264472848 339430242 452573656 458794022 509145363 678860484 688191033 905147312 917588044 1018290726 1357720968 1376382066 1835176088 2036581452 2064573099 2715441936 2752764132 3670352176 4073162904 4129146198 5505528264 8146325808 8258292396 11011056528 16516584792 33033169584 154384188403 308768376806 463152565209 617536753612 926305130418 1235073507224 1389457695627 1852610260836 2470147014448 2778915391254 3705220521672 5557830782508 7410441043344 11115661565016 22231323130032