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242443010220 = 22354396797177
BaseRepresentation
bin1110000111001010111…
…0101100000010101100
3212011210021021222222220
43201302232230002230
512433010402311340
6303213215035340
723341651404405
oct3416256540254
9764707258886
10242443010220
1193901838a54
123aba180bb50
1319b295690c8
14ba3cd069ac
15648e67aed0
hex3872bac0ac

242443010220 has 96 divisors (see below), whose sum is σ = 695352903168. Its totient is φ = 63081994752.

The previous prime is 242443010219. The next prime is 242443010261. The reversal of 242443010220 is 22010344242.

It is a super-2 number, since 2×2424430102202 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2446272 + ... + 2543448.

It is an arithmetic number, because the mean of its divisors is an integer number (7243259408).

Almost surely, 2242443010220 is an apocalyptic number.

242443010220 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 242443010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347676451584).

242443010220 is an abundant number, since it is smaller than the sum of its proper divisors (452909892948).

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

242443010220 is a wasteful number, since it uses less digits than its factorization.

242443010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98199 (or 98197 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 242443010220 its reverse (22010344242), we get a palindrome (264453354462).

The spelling of 242443010220 in words is "two hundred forty-two billion, four hundred forty-three million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 967 1290 1934 2580 2901 3868 4835 5802 9670 11604 14505 19340 29010 41581 58020 83162 97177 124743 166324 194354 207905 249486 291531 388708 415810 485885 498972 583062 623715 831620 971770 1166124 1247430 1457655 1943540 2494860 2915310 4178611 5830620 8357222 12535833 16714444 20893055 25071666 41786110 50143332 62679165 83572220 93970159 125358330 187940318 250716660 281910477 375880636 469850795 563820954 939701590 1127641908 1409552385 1879403180 2819104770 4040716837 5638209540 8081433674 12122150511 16162867348 20203584185 24244301022 40407168370 48488602044 60610752555 80814336740 121221505110 242443010220