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22822709945344 = 21033724432
BaseRepresentation
bin1010011000001110100111…
…00001001110010000000000
32222210211101220012212000021
411030013103201032100000
510442411402221222334
6120312335212303224
74543613012463121
oct514072341162000
988724356185007
1022822709945344
1172aa069860691
12268723b471b14
13c9723175884a
1458c8a721a048
15298a0ec6d3b4
hex14c1d384e400

22822709945344 has 99 divisors (see below), whose sum is σ = 45862440450897. Its totient is φ = 11351810555904.

The previous prime is 22822709945333. The next prime is 22822709945389. The reversal of 22822709945344 is 44354990722822.

The square root of 22822709945344 is 4777312.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6154368640000 + 16668341305344 = 2480800^2 + 4082688^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 51518532387 + ... + 51518532829.

Almost surely, 222822709945344 is an apocalyptic number.

22822709945344 is the 4777312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22822709945344

22822709945344 is an abundant number, since it is smaller than the sum of its proper divisors (23039730505553).

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

22822709945344 is an frugal number, since it uses more digits than its factorization.

22822709945344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 61.

The spelling of 22822709945344 in words is "twenty-two trillion, eight hundred twenty-two billion, seven hundred nine million, nine hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 337 443 512 674 886 1024 1348 1772 2696 3544 5392 7088 10784 14176 21568 28352 43136 56704 86272 113408 113569 149291 172544 196249 226816 227138 298582 345088 392498 453632 454276 597164 784996 908552 1194328 1569992 1817104 2388656 3139984 3634208 4777312 6279968 7268416 9554624 12559936 14536832 19109248 25119872 29073664 38218496 50239744 50311067 58147328 66135913 76436992 100479488 100622134 116294656 132271826 152873984 200958976 201244268 264543652 402488536 529087304 804977072 1058174608 1609954144 2116349216 3219908288 4232698432 6439816576 8465396864 12879633152 16930793728 22287802681 25759266304 33861587456 44575605362 51518532608 67723174912 89151210724 178302421448 356604842896 713209685792 1426419371584 2852838743168 5705677486336 11411354972672 22822709945344