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22305023504240 = 2455397383141601
BaseRepresentation
bin1010001001001010010110…
…00000001010111101110000
32220222100011102211211200112
411010211023000022331300
510410421142004113430
6115234441503240452
74461325163362301
oct504451300127560
986870142754615
1022305023504240
11711a564306214
122602a432a9128
13c5a47c344a09
145717d70ac7a8
1528a31156d195
hex14494b00af70

22305023504240 has 160 divisors (see below), whose sum is σ = 53522130364416. Its totient is φ = 8640744652800.

The previous prime is 22305023504209. The next prime is 22305023504243. The reversal of 22305023504240 is 4240532050322.

It is a junction number, because it is equal to n+sod(n) for n = 22305023504197 and 22305023504206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22305023504243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157449440 + ... + 157591040.

Almost surely, 222305023504240 is an apocalyptic number.

22305023504240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22305023504240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26761065182208).

22305023504240 is an abundant number, since it is smaller than the sum of its proper divisors (31217106860176).

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

22305023504240 is a wasteful number, since it uses less digits than its factorization.

22305023504240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142147 (or 142141 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

Adding to 22305023504240 its reverse (4240532050322), we get a palindrome (26545555554562).

The spelling of 22305023504240 in words is "twenty-two trillion, three hundred five billion, twenty-three million, five hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 97 106 194 212 265 383 388 424 485 530 766 776 848 970 1060 1532 1552 1915 1940 2120 3064 3830 3880 4240 5141 6128 7660 7760 10282 15320 20299 20564 25705 30640 37151 40598 41128 51410 74302 81196 82256 101495 102820 141601 148604 162392 185755 202990 205640 283202 297208 324784 371510 405980 411280 566404 594416 708005 743020 811960 1132808 1416010 1486040 1623920 1969003 2265616 2832020 2972080 3938006 5664040 7504853 7876012 9845015 11328080 13735297 15009706 15752024 19690030 27470594 30019412 31504048 37524265 39380060 54233183 54941188 60038824 68676485 75048530 78760120 108466366 109882376 120077648 137352970 150097060 157520240 216932732 219764752 271165915 274705940 300194120 433865464 542331830 549411880 600388240 727970741 867730928 1084663660 1098823760 1455941482 2169327320 2874358699 2911882964 3639853705 4338654640 5260618751 5748717398 5823765928 7279707410 10521237502 11497434796 11647531856 14371793495 14559414820 21042475004 22994869592 26303093755 28743586990 29118829640 42084950008 45989739184 52606187510 57487173980 58237659280 84169900016 105212375020 114974347960 210424750040 229948695920 278812793803 420849500080 557625587606 1115251175212 1394063969015 2230502350424 2788127938030 4461004700848 5576255876060 11152511752120 22305023504240