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22380259889340 = 2233541444925721
BaseRepresentation
bin1010001011010110011110…
…11100001101000010111100
32221020112100210101012112000
411011223033130031002330
510413134233012424330
6115333203252142300
74466630463164643
oct505531734150274
987215323335460
1022380259889340
117149462289981
12261553b907990
13c645ac5a4592
145752d331a35a
1528c26672a560
hex145acf70d0bc

22380259889340 has 48 divisors (see below), whose sum is σ = 69627475212960. Its totient is φ = 5968069303680.

The previous prime is 22380259889333. The next prime is 22380259889359. The reversal of 22380259889340 is 4398895208322.

22380259889340 is a `hidden beast` number, since 2 + 2 + 3 + 8 + 0 + 2 + 598 + 8 + 9 + 34 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20722462321 + ... + 20722463400.

It is an arithmetic number, because the mean of its divisors is an integer number (1450572400270).

Almost surely, 222380259889340 is an apocalyptic number.

22380259889340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22380259889340 is an abundant number, since it is smaller than the sum of its proper divisors (47247215323620).

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

22380259889340 is a wasteful number, since it uses less digits than its factorization.

22380259889340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41444925739 (or 41444925731 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 22380259889340 in words is "twenty-two trillion, three hundred eighty billion, two hundred fifty-nine million, eight hundred eighty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 41444925721 82889851442 124334777163 165779702884 207224628605 248669554326 373004331489 414449257210 497339108652 621673885815 746008662978 828898514420 1119012994467 1243347771630 1492017325956 1865021657445 2238025988934 2486695543260 3730043314890 4476051977868 5595064972335 7460086629780 11190129944670 22380259889340