Search a number
-
+
2201023301232 = 243717419398371
BaseRepresentation
bin100000000001110111001…
…101100100011001110000
321210102020002122121212010
4200001313031210121300
5242030143431114412
64403045224002520
7315006260241420
oct40016715443160
97712202577763
102201023301232
117794a3300388
122b66a6300440
1312c72b88b622
147875c826480
153c3c11d733c
hex20077364670

2201023301232 has 160 divisors (see below), whose sum is σ = 7048327878144. Its totient is φ = 577435852800.

The previous prime is 2201023301209. The next prime is 2201023301237. The reversal of 2201023301232 is 2321033201022.

It is a happy number.

It is a super-2 number, since 2×22010233012322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2201023301199 and 2201023301208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201023301237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4464994 + ... + 4933377.

Almost surely, 22201023301232 is an apocalyptic number.

It is an amenable number.

2201023301232 is an abundant number, since it is smaller than the sum of its proper divisors (4847304576912).

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

2201023301232 is a wasteful number, since it uses less digits than its factorization.

2201023301232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9398447 (or 9398441 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2201023301232 its reverse (2321033201022), we get a palindrome (4522056502254).

The spelling of 2201023301232 in words is "two trillion, two hundred one billion, twenty-three million, three hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 41 42 48 51 56 68 82 84 102 112 119 123 136 164 168 204 238 246 272 287 328 336 357 408 476 492 574 656 697 714 816 861 952 984 1148 1394 1428 1722 1904 1968 2091 2296 2788 2856 3444 4182 4592 4879 5576 5712 6888 8364 9758 11152 13776 14637 16728 19516 29274 33456 39032 58548 78064 117096 234192 9398371 18796742 28195113 37593484 56390226 65788597 75186968 112780452 131577194 150373936 159772307 197365791 225560904 263154388 319544614 385333211 394731582 451121808 479316921 526308776 639089228 770666422 789463164 958633842 1052617552 1118406149 1155999633 1278178456 1541332844 1578926328 1917267684 2236812298 2311999266 2556356912 2697332477 3082665688 3157852656 3355218447 3834535368 4473624596 4623998532 5394664954 6165331376 6550664587 6710436894 7669070736 8091997431 8947249192 9247997064 10789329908 13101329174 13420873788 16183994862 17894498384 18495994128 19651993761 21578659816 26202658348 26841747576 32367989724 39303987522 43157319632 45854652109 52405316696 53683495152 64735979448 78607975044 91709304218 104810633392 129471958896 137563956327 157215950088 183418608436 275127912654 314431900176 366837216872 550255825308 733674433744 1100511650616 2201023301232