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221424713728 = 216109139223
BaseRepresentation
bin1100111000110111110…
…0010000000000000000
3210011112110122220120021
43032031330100000000
512111434211314403
6245415432023224
721666053004151
oct3161574200000
9704473586507
10221424713728
11859a6529789
1236ab6831b14
1317b59c1938a
14aa076ad928
155b5e3178bd
hex338df10000

221424713728 has 136 divisors (see below), whose sum is σ = 452142521600. Its totient is φ = 108419088384.

The previous prime is 221424713717. The next prime is 221424713743. The reversal of 221424713728 is 827317424122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 992935825 + ... + 992936047.

Almost surely, 2221424713728 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 221424713728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226071260800).

221424713728 is an abundant number, since it is smaller than the sum of its proper divisors (230717807872).

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

221424713728 is an equidigital number, since it uses as much as digits as its factorization.

221424713728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 473 counting only the distinct ones).

The product of its digits is 301056, while the sum is 43.

The spelling of 221424713728 in words is "two hundred twenty-one billion, four hundred twenty-four million, seven hundred thirteen thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 109 128 139 218 223 256 278 436 446 512 556 872 892 1024 1112 1744 1784 2048 2224 3488 3568 4096 4448 6976 7136 8192 8896 13952 14272 15151 16384 17792 24307 27904 28544 30302 30997 32768 35584 48614 55808 57088 60604 61994 65536 71168 97228 111616 114176 121208 123988 142336 194456 223232 228352 242416 247976 284672 388912 446464 456704 484832 495952 569344 777824 892928 913408 969664 991904 1138688 1555648 1785856 1826816 1939328 1983808 2277376 3111296 3378673 3571712 3653632 3878656 3967616 4554752 6222592 6757346 7143424 7307264 7757312 7935232 9109504 12445184 13514692 14614528 15514624 15870464 24890368 27029384 31029248 31740928 49780736 54058768 62058496 63481856 99561472 108117536 124116992 126963712 199122944 216235072 248233984 253927424 398245888 432470144 496467968 507854848 796491776 864940288 992935936 1015709696 1592983552 1729880576 2031419392 3459761152 6919522304 13839044608 27678089216 55356178432 110712356864 221424713728