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242000221266 = 23347160159557
BaseRepresentation
bin1110000101100001010…
…1100101010001010010
3212010122102002222202000
43201120111211101102
512431104024040031
6303101240334430
723324663640456
oct3413025452122
9763572088660
10242000221266
11936a48a8071
123aa99474416
1319a888c56cb
14b9da1a4666
1564658643e6
hex3858565452

242000221266 has 64 divisors (see below), whose sum is σ = 549572636160. Its totient is φ = 78899788800.

The previous prime is 242000221241. The next prime is 242000221271. The reversal of 242000221266 is 662122000242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

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, 4033560 + ... + 4093116.

It is an arithmetic number, because the mean of its divisors is an integer number (8587072440).

Almost surely, 2242000221266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242000221266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274786318080).

242000221266 is an abundant number, since it is smaller than the sum of its proper divisors (307572414894).

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

242000221266 is a wasteful number, since it uses less digits than its factorization.

242000221266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61216 (or 61210 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 242000221266 in words is "two hundred forty-two billion, two hundred twenty-one thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 1269 1601 2538 3202 4803 9606 14409 28818 43227 59557 75247 86454 119114 150494 178671 225741 357342 451482 536013 677223 1072026 1354446 1608039 2031669 2799179 3216078 4063338 5598358 8397537 16795074 25192611 50385222 75577833 95350757 151155666 190701514 286052271 572104542 858156813 1716313626 2574470439 4481485579 5148940878 8962971158 13444456737 26888913474 40333370211 80666740422 121000110633 242000221266