Search a number
-
+
234055205120 = 2851143138569
BaseRepresentation
bin1101100111111011000…
…1110000000100000000
3211101010201011100111202
43121332301300010000
512313321113030440
6255305023200332
722624051263212
oct3317661600400
9741121140452
10234055205120
1190298074920
12394407460a8
13190c0894319
14b484d305b2
15614d0ca615
hex367ec70100

234055205120 has 144 divisors (see below), whose sum is σ = 613037134080. Its totient is φ = 84911308800.

The previous prime is 234055205093. The next prime is 234055205143. The reversal of 234055205120 is 21502550432.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6049196 + ... + 6087764.

It is an arithmetic number, because the mean of its divisors is an integer number (4257202320).

Almost surely, 2234055205120 is an apocalyptic number.

234055205120 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 234055205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306518567040).

234055205120 is an abundant number, since it is smaller than the sum of its proper divisors (378981928960).

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

234055205120 is a wasteful number, since it uses less digits than its factorization.

234055205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39032 (or 39018 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

Adding to 234055205120 its reverse (21502550432), we get a palindrome (255557755552).

The spelling of 234055205120 in words is "two hundred thirty-four billion, fifty-five million, two hundred five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 431 440 640 704 862 880 1280 1408 1724 1760 2155 2816 3448 3520 4310 4741 6896 7040 8620 9482 13792 14080 17240 18964 23705 27584 34480 37928 38569 47410 55168 68960 75856 77138 94820 110336 137920 151712 154276 189640 192845 275840 303424 308552 379280 385690 424259 551680 606848 617104 758560 771380 848518 1213696 1234208 1517120 1542760 1697036 2121295 2468416 3034240 3085520 3394072 4242590 4936832 6068480 6171040 6788144 8485180 9873664 12342080 13576288 16623239 16970360 24684160 27152576 33246478 33940720 49368320 54305152 66492956 67881440 83116195 108610304 132985912 135762880 166232390 182855629 265971824 271525760 332464780 365711258 531943648 543051520 664929560 731422516 914278145 1063887296 1329859120 1462845032 1828556290 2127774592 2659718240 2925690064 3657112580 4255549184 5319436480 5851380128 7314225160 10638872960 11702760256 14628450320 21277745920 23405520512 29256900640 46811041024 58513801280 117027602560 234055205120