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22453235341056 = 283313249880201
BaseRepresentation
bin1010001101011110011010…
…00111011101011100000000
32221111111201120120020211000
411012233031013131130000
510420333211221403211
6115430512433252000
74505123050245642
oct506571507353400
987444646506730
1022453235341056
1171773aaaa4953
122627707104000
13c6b43c2b9a40
14578a57188892
1528e0d8181656
hex146bcd1dd700

22453235341056 has 144 divisors (see below), whose sum is σ = 71505718604320. Its totient is φ = 6908687769600.

The previous prime is 22453235341001. The next prime is 22453235341057. The reversal of 22453235341056 is 65014353235422.

22453235341056 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 3 + 2 + 3 + 534 + 105 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×224532353410562 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22453235341057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124850245 + ... + 125029956.

Almost surely, 222453235341056 is an apocalyptic number.

22453235341056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

22453235341056 is an abundant number, since it is smaller than the sum of its proper divisors (49052483263264).

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

22453235341056 is a wasteful number, since it uses less digits than its factorization.

22453235341056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249880239 (or 249880219 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

Adding to 22453235341056 its reverse (65014353235422), we get a palindrome (87467588576478).

The spelling of 22453235341056 in words is "twenty-two trillion, four hundred fifty-three billion, two hundred thirty-five million, three hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 576 624 702 768 832 864 936 1152 1248 1404 1664 1728 1872 2304 2496 2808 3328 3456 3744 4992 5616 6912 7488 9984 11232 14976 22464 29952 44928 89856 249880201 499760402 749640603 999520804 1499281206 1999041608 2248921809 2998562412 3248442613 3998083216 4497843618 5997124824 6496885226 6746765427 7996166432 8995687236 9745327839 11994249648 12993770452 13493530854 15992332864 17991374472 19490655678 23988499296 25987540904 26987061708 29235983517 31984665728 35982748944 38981311356 47976998592 51975081808 53974123416 58471967034 63969331456 71965497888 77962622712 87707950551 95953997184 103950163616 107948246832 116943934068 143930995776 155925245424 175415901102 191907994368 207900327232 215896493664 233887868136 287861991552 311850490848 350831802204 415800654464 431792987328 467775736272 575723983104 623700981696 701663604408 831601308928 863585974656 935551472544 1247401963392 1403327208816 1727171949312 1871102945088 2494803926784 2806654417632 3742205890176 5613308835264 7484411780352 11226617670528 22453235341056