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21893828000 = 255311497587
BaseRepresentation
bin10100011000111110…
…010100110110100000
32002111211002200212112
4110120332110312200
5324314304444000
614020300414452
71403356316222
oct243076246640
962454080775
1021893828000
11931554a030
1242b0247428
1320abb5a115
1410b9a24412
1588215a235
hex518f94da0

21893828000 has 96 divisors (see below), whose sum is σ = 58683538368. Its totient is φ = 7961376000.

The previous prime is 21893827981. The next prime is 21893828009. The reversal of 21893828000 is 82839812.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21893828009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204794 + ... + 292793.

It is an arithmetic number, because the mean of its divisors is an integer number (611286858).

Almost surely, 221893828000 is an apocalyptic number.

21893828000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21893828000 is an abundant number, since it is smaller than the sum of its proper divisors (36789710368).

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

21893828000 is a wasteful number, since it uses less digits than its factorization.

21893828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497623 (or 497605 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The spelling of 21893828000 in words is "twenty-one billion, eight hundred ninety-three million, eight hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 44000 497587 995174 1990348 2487935 3980696 4975870 5473457 7961392 9951740 10946914 12439675 15922784 19903480 21893828 24879350 27367285 39806960 43787656 49758700 54734570 62198375 79613920 87575312 99517400 109469140 124396750 136836425 175150624 199034800 218938280 248793500 273672850 398069600 437876560 497587000 547345700 684182125 875753120 995174000 1094691400 1368364250 1990348000 2189382800 2736728500 4378765600 5473457000 10946914000 21893828000