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22320392626688 = 29132160612
BaseRepresentation
bin1010001001100110111110…
…00100101110001000000000
32221000210211112120011011212
411010303133010232020000
510411144131003023223
6115245502525025252
74462411064641412
oct504633704561000
987023745504155
1022320392626688
117126030823402
122605a123b5228
13c5ba5b4b0b00
1457245433a9b2
1528a910997278
hex144cdf12e200

22320392626688 has 90 divisors (see below), whose sum is σ = 48294639523647. Its totient is φ = 10301078261760.

The previous prime is 22320392626681. The next prime is 22320392626717. The reversal of 22320392626688 is 88662629302322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 1826736058624 + 20493656568064 = 1351568^2 + 4526992^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3340688.

It is a super-3 number, since 3×223203926266883 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22320392626681) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1389718178 + ... + 1389734238.

Almost surely, 222320392626688 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 22320392626688

22320392626688 is an abundant number, since it is smaller than the sum of its proper divisors (25974246896959).

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

22320392626688 is an frugal number, since it uses more digits than its factorization.

22320392626688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32166 (or 16076 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 59.

The spelling of 22320392626688 in words is "twenty-two trillion, three hundred twenty billion, three hundred ninety-two million, six hundred twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1352 1664 2704 3328 5408 6656 10816 16061 21632 32122 43264 64244 86528 128488 208793 256976 417586 513952 835172 1027904 1670344 2055808 2714309 3340688 4111616 5428618 6681376 8223232 10857236 13362752 21714472 26725504 43428944 53451008 86857888 106902016 173715776 257955721 347431552 515911442 694863104 1031822884 1389726208 2063645768 3353424373 4127291536 6706848746 8254583072 13413697492 16509166144 26827394984 33018332288 43594516849 53654789968 66036664576 87189033698 107309579936 132073329152 174378067396 214619159872 348756134792 429238319744 697512269584 858476639488 1395024539168 1716953278976 2790049078336 5580098156672 11160196313344 22320392626688