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242355030225 = 35272115995177
BaseRepresentation
bin1110000110110101111…
…1000100100011010001
3212011120010202011010120
43201231133010203101
512432320341431400
6303200353220453
723336532524100
oct3415537044321
9764503664116
10242355030225
1193867107310
123ab78261729
1319b14273739
14ba31364037
156486a9cca0
hex386d7c48d1

242355030225 has 72 divisors (see below), whose sum is σ = 508487017248. Its totient is φ = 100718956800.

The previous prime is 242355030217. The next prime is 242355030227. The reversal of 242355030225 is 522030553242.

242355030225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242355030225 - 23 = 242355030217 is a prime.

It is a super-3 number, since 3×2423550302253 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (242355030227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2957164 + ... + 3038013.

It is an arithmetic number, because the mean of its divisors is an integer number (7062319684).

Almost surely, 2242355030225 is an apocalyptic number.

242355030225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242355030225 is an abundant number, since it is smaller than the sum of its proper divisors (266131987023).

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

242355030225 is a wasteful number, since it uses less digits than its factorization.

242355030225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5995215 (or 5995203 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 33.

Adding to 242355030225 its reverse (522030553242), we get a palindrome (764385583467).

The spelling of 242355030225 in words is "two hundred forty-two billion, three hundred fifty-five million, thirty thousand, two hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 49 55 75 77 105 147 165 175 231 245 275 385 525 539 735 825 1155 1225 1617 1925 2695 3675 5775 8085 13475 40425 5995177 17985531 29975885 41966239 65946947 89927655 125898717 149879425 197840841 209831195 293763673 329734735 449638275 461628629 629493585 881291019 989204205 1049155975 1384885887 1468818365 1648673675 2308143145 3147467925 3231400403 4406455095 4946021025 6924429435 7344091825 9694201209 11540715725 16157002015 22032275475 34622147175 48471006045 80785010075 242355030225