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21864245100 = 22352149489133
BaseRepresentation
bin10100010111001101…
…011110011101101100
32002102202102201202120
4110113031132131230
5324234221320400
614013322352540
71402550005545
oct242715363554
962382381676
1021864245100
1192aa883a55
1242a235b750
1320a599cc49
1410b5b234cc
1587e764ca0
hex51735e76c

21864245100 has 72 divisors (see below), whose sum is σ = 63685246800. Its totient is φ = 5791322880.

The previous prime is 21864245089. The next prime is 21864245107. The reversal of 21864245100 is 154246812.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21864245107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199867 + ... + 289266.

Almost surely, 221864245100 is an apocalyptic number.

21864245100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21864245100 is an abundant number, since it is smaller than the sum of its proper divisors (41821001700).

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

21864245100 is a wasteful number, since it uses less digits than its factorization.

21864245100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489299 (or 489292 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 21864245100 in words is "twenty-one billion, eight hundred sixty-four million, two hundred forty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 149 150 298 300 447 596 745 894 1490 1788 2235 2980 3725 4470 7450 8940 11175 14900 22350 44700 489133 978266 1467399 1956532 2445665 2934798 4891330 5869596 7336995 9782660 12228325 14673990 24456650 29347980 36684975 48913300 72880817 73369950 145761634 146739900 218642451 291523268 364404085 437284902 728808170 874569804 1093212255 1457616340 1822020425 2186424510 3644040850 4372849020 5466061275 7288081700 10932122550 21864245100