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204430005540 = 2232514919938303
BaseRepresentation
bin1011111001100011111…
…0100101010100100100
3201112200002010021122200
42332120332211110210
511322133040134130
6233525220254500
720524652243025
oct2763076452444
9645602107580
10204430005540
1179775454a02
1233753241430
131637c059827
149c745aac4c
1554b7338760
hex2f98fa5524

204430005540 has 144 divisors (see below), whose sum is σ = 627419520000. Its totient is φ = 53875286784.

The previous prime is 204430005523. The next prime is 204430005547. The reversal of 204430005540 is 45500034402.

It is not an unprimeable number, because it can be changed into a prime (204430005547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5318029 + ... + 5356331.

It is an arithmetic number, because the mean of its divisors is an integer number (4357080000).

Almost surely, 2204430005540 is an apocalyptic number.

204430005540 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 204430005540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313709760000).

204430005540 is an abundant number, since it is smaller than the sum of its proper divisors (422989514460).

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

204430005540 is a wasteful number, since it uses less digits than its factorization.

204430005540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38666 (or 38661 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 204430005540 its reverse (45500034402), we get a palindrome (249930039942).

The spelling of 204430005540 in words is "two hundred four billion, four hundred thirty million, five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 149 180 199 298 398 447 596 597 745 796 894 995 1194 1341 1490 1788 1791 1990 2235 2388 2682 2980 2985 3582 3980 4470 5364 5970 6705 7164 8940 8955 11940 13410 17910 26820 29651 35820 38303 59302 76606 88953 114909 118604 148255 153212 177906 191515 229818 266859 296510 344727 355812 383030 444765 459636 533718 574545 593020 689454 766060 889530 1067436 1149090 1334295 1378908 1723635 1779060 2298180 2668590 3447270 5337180 5707147 6894540 7622297 11414294 15244594 17121441 22828588 22866891 28535735 30489188 34242882 38111485 45733782 51364323 57071470 68485764 68600673 76222970 85607205 91467564 102728646 114142940 114334455 137201346 152445940 171214410 205457292 228668910 256821615 274402692 342428820 343003365 457337820 513643230 686006730 1027286460 1135722253 1372013460 2271444506 3407166759 4542889012 5678611265 6814333518 10221500277 11357222530 13628667036 17035833795 20443000554 22714445060 34071667590 40886001108 51107501385 68143335180 102215002770 204430005540