Search a number
-
+
30220030403024 = 24711592831469081
BaseRepresentation
bin1101101111100001001100…
…01011010110000111010000
310222000000011212201100100012
412313300212023112013100
512430111110240344044
6144134520150214052
76236216345064530
oct667604613260720
9128000155640305
1030220030403024
1196a1274367540
123480a17054328
1313b297651c5b7
1476692b7c94c0
1537615b9c259e
hex1b7c262d61d0

30220030403024 has 160 divisors (see below), whose sum is σ = 74498676065280. Its totient is φ = 11533570790400.

The previous prime is 30220030403023. The next prime is 30220030403039. The reversal of 30220030403024 is 42030403002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30220030403023) 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, 19836164 + ... + 21305244.

It is an arithmetic number, because the mean of its divisors is an integer number (465616725408).

Almost surely, 230220030403024 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 30220030403024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37249338032640).

30220030403024 is an abundant number, since it is smaller than the sum of its proper divisors (44278645662256).

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

30220030403024 is a wasteful number, since it uses less digits than its factorization.

30220030403024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469449 (or 1469443 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 30220030403024 its reverse (42030403002203), we get a palindrome (72250433405227).

The spelling of 30220030403024 in words is "thirty trillion, two hundred twenty billion, thirty million, four hundred three thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 59 77 88 112 118 154 176 236 283 308 413 472 566 616 649 826 944 1132 1232 1298 1652 1981 2264 2596 3113 3304 3962 4528 4543 5192 6226 6608 7924 9086 10384 12452 15848 16697 18172 21791 24904 31696 33394 36344 43582 49808 66788 72688 87164 116879 133576 174328 183667 233758 267152 348656 367334 467516 734668 935032 1285669 1469081 1469336 1870064 2571338 2938162 2938672 5142676 5876324 10283567 10285352 11752648 16159891 20567134 20570704 23505296 32319782 41134268 64639564 82268536 86675779 113119237 129279128 164537072 173351558 226238474 258558256 346703116 415749923 452476948 606730453 693406232 831499846 904953896 953433569 1213460906 1386812464 1662999692 1809907792 1906867138 2426921812 2910249461 3325999384 3813734276 4573249153 4853843624 5820498922 6651998768 6674034983 7627468552 9146498306 9707687248 11640997844 13348069966 15254937104 18292996612 23281995688 24529245457 26696139932 32012744071 36585993224 46563991376 49058490914 53392279864 64025488142 73171986448 98116981828 106784559728 128050976284 171704718199 196233963656 256101952568 269821700027 343409436398 392467927312 512203905136 539643400054 686818872796 1079286800108 1373637745592 1888751900189 2158573600216 2747275491184 3777503800378 4317147200432 7555007600756 15110015201512 30220030403024