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21334337200 = 24521129167197
BaseRepresentation
bin10011110111101000…
…000010011010110000
32001001211022121210001
4103313220002122300
5322143042242300
613444552515344
71353453605551
oct236750023260
961054277701
1021334337200
11905874a340
1241749abb54
13201cc75a87
1410655c4328
1584ce9016a
hex4f7a026b0

21334337200 has 120 divisors (see below), whose sum is σ = 57843820080. Its totient is φ = 7490380800.

The previous prime is 21334337197. The next prime is 21334337209. The reversal of 21334337200 is 273343312.

It is not an unprimeable number, because it can be changed into a prime (21334337209) 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, 44002 + ... + 211198.

It is an arithmetic number, because the mean of its divisors is an integer number (482031834).

Almost surely, 221334337200 is an apocalyptic number.

21334337200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21334337200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28921910040).

21334337200 is an abundant number, since it is smaller than the sum of its proper divisors (36509482880).

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

21334337200 is a wasteful number, since it uses less digits than its factorization.

21334337200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167255 (or 167244 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 28.

The spelling of 21334337200 in words is "twenty-one billion, three hundred thirty-four million, three hundred thirty-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 29 40 44 50 55 58 80 88 100 110 116 145 176 200 220 232 275 290 319 400 440 464 550 580 638 725 880 1100 1160 1276 1450 1595 2200 2320 2552 2900 3190 4400 5104 5800 6380 7975 11600 12760 15950 25520 31900 63800 127600 167197 334394 668788 835985 1337576 1671970 1839167 2675152 3343940 3678334 4179925 4848713 6687880 7356668 8359850 9195835 9697426 13375760 14713336 16719700 18391670 19394852 24243565 29426672 33439400 36783340 38789704 45979175 48487130 53335843 66878800 73566680 77579408 91958350 96974260 106671686 121217825 147133360 183916700 193948520 213343372 242435650 266679215 367833400 387897040 426686744 484871300 533358430 735666800 853373488 969742600 1066716860 1333396075 1939485200 2133433720 2666792150 4266867440 5333584300 10667168600 21334337200