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21885088140 = 22335197920479
BaseRepresentation
bin10100011000011100…
…111111000110001100
32002111012122200001000
4110120130333012030
5324310040310030
614015345220300
71403222115456
oct243034770614
962435580030
1021885088140
11931061a703
1242a9331690
1320aa0b9cc6
1410b87cb2d6
158814d0860
hex51873f18c

21885088140 has 96 divisors (see below), whose sum is σ = 68124672000. Its totient is φ = 5832789696.

The previous prime is 21885088139. The next prime is 21885088187. The reversal of 21885088140 is 4188058812.

21885088140 is a `hidden beast` number, since 21 + 8 + 8 + 508 + 81 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1058421 + ... + 1078899.

It is an arithmetic number, because the mean of its divisors is an integer number (709632000).

Almost surely, 221885088140 is an apocalyptic number.

21885088140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21885088140 is an abundant number, since it is smaller than the sum of its proper divisors (46239583860).

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

21885088140 is a wasteful number, since it uses less digits than its factorization.

21885088140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22476 (or 22468 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 45.

The spelling of 21885088140 in words is "twenty-one billion, eight hundred eighty-five million, eighty-eight thousand, one 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 1979 3958 5937 7916 9895 11874 17811 19790 20479 23748 29685 35622 39580 40958 53433 59370 61437 71244 81916 89055 102395 106866 118740 122874 178110 184311 204790 213732 245748 267165 307185 356220 368622 409580 534330 552933 614370 737244 921555 1068660 1105866 1228740 1843110 2211732 2764665 3686220 5529330 11058660 40527941 81055882 121583823 162111764 202639705 243167646 364751469 405279410 486335292 607919115 729502938 810558820 1094254407 1215838230 1459005876 1823757345 2188508814 2431676460 3647514690 4377017628 5471272035 7295029380 10942544070 21885088140