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21333140224 = 28113137457
BaseRepresentation
bin10011110111100011…
…011110001100000000
32001001202001210211121
4103313203132030000
5322142240441344
613444511122024
71353440462044
oct236743361400
961052053747
1021333140224
119058002000
124174513314
13201c946cc6
141065392024
1584cd05684
hex4f78de300

21333140224 has 144 divisors (see below), whose sum is σ = 47283165216. Its totient is φ = 9605038080.

The previous prime is 21333140219. The next prime is 21333140261. The reversal of 21333140224 is 42204133312.

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 15 ways as a sum of consecutive naturals, for example, 46680604 + ... + 46681060.

It is an arithmetic number, because the mean of its divisors is an integer number (328355314).

Almost surely, 221333140224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21333140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23641582608).

21333140224 is an abundant number, since it is smaller than the sum of its proper divisors (25950024992).

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

21333140224 is an equidigital number, since it uses as much as digits as its factorization.

21333140224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 21333140224 its reverse (42204133312), we get a palindrome (63537273536).

The spelling of 21333140224 in words is "twenty-one billion, three hundred thirty-three million, one hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 137 176 242 256 274 352 457 484 548 704 914 968 1096 1331 1408 1507 1828 1936 2192 2662 2816 3014 3656 3872 4384 5027 5324 6028 7312 7744 8768 10054 10648 12056 14624 15488 16577 17536 20108 21296 24112 29248 30976 33154 35072 40216 42592 48224 55297 58496 62609 66308 80432 85184 96448 110594 116992 125218 132616 160864 170368 182347 192896 221188 250436 265232 321728 340736 364694 385792 442376 500872 530464 608267 643456 688699 729388 884752 1001744 1060928 1216534 1286912 1377398 1458776 1769504 2003488 2121856 2433068 2754796 2917552 3539008 4006976 4243712 4866136 5509592 5835104 7078016 7575689 8013952 9732272 11019184 11670208 14156032 15151378 16027904 19464544 22038368 23340416 30302756 38929088 44076736 46680832 60605512 77858176 83332579 88153472 121211024 155716352 166665158 176306944 242422048 333330316 484844096 666660632 969688192 1333321264 1939376384 2666642528 5333285056 10666570112 21333140224