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22056745728 = 283411375113
BaseRepresentation
bin10100100010101011…
…110011101100000000
32002221011122202222110
4110202223303230000
5330133011330403
614044400335320
71410405150063
oct244253635400
962834582873
1022056745728
119399504586
124336914540
13210682c944
1410d35128da
158915dc103
hex522af3b00

22056745728 has 144 divisors (see below), whose sum is σ = 60585680736. Its totient is φ = 7119175680.

The previous prime is 22056745703. The next prime is 22056745751. The reversal of 22056745728 is 82754765022.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4311300 + ... + 4316412.

It is an arithmetic number, because the mean of its divisors is an integer number (420733894).

Almost surely, 222056745728 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 22056745728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30292840368).

22056745728 is an abundant number, since it is smaller than the sum of its proper divisors (38528935008).

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

22056745728 is a wasteful number, since it uses less digits than its factorization.

22056745728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5310 (or 5296 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The spelling of 22056745728 in words is "twenty-two billion, fifty-six million, seven hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 137 164 192 246 256 274 328 384 411 492 548 656 768 822 984 1096 1312 1644 1968 2192 2624 3288 3936 4384 5113 5248 5617 6576 7872 8768 10226 10496 11234 13152 15339 15744 16851 17536 20452 22468 26304 30678 31488 33702 35072 40904 44936 52608 61356 67404 81808 89872 105216 122712 134808 163616 179744 209633 245424 269616 327232 359488 419266 490848 539232 628899 654464 700481 718976 838532 981696 1078464 1257798 1308928 1400962 1437952 1677064 1963392 2101443 2156928 2515596 2801924 3354128 3926784 4202886 4313856 5031192 5603848 6708256 8405772 10062384 11207696 13416512 16811544 20124768 22415392 26833024 28719721 33623088 40249536 44830784 53666048 57439442 67246176 80499072 86159163 89661568 114878884 134492352 160998144 172318326 179323136 229757768 268984704 344636652 459515536 537969408 689273304 919031072 1378546608 1838062144 2757093216 3676124288 5514186432 7352248576 11028372864 22056745728