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242202202240 = 275973901453
BaseRepresentation
bin1110000110010001100…
…0000101000010000000
3212011011111011200112211
43201210120011002000
512432012230432430
6303133253431504
723332665515335
oct3414430050200
9764144150484
10242202202240
1193798913399
123ab3503b594
1319abb6c458b
14ba18d4098c
15647846072a
hex3864605080

242202202240 has 64 divisors (see below), whose sum is σ = 584984012760. Its totient is φ = 95882084352.

The previous prime is 242202202217. The next prime is 242202202241. The reversal of 242202202240 is 42202202242.

It can be written as a sum of positive squares in 4 ways, for example, as 107736245824 + 134465956416 = 328232^2 + 366696^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2422022022402 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242202202241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1888647 + ... + 2012806.

Almost surely, 2242202202240 is an apocalyptic number.

242202202240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242202202240 is an abundant number, since it is smaller than the sum of its proper divisors (342781810520).

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

242202202240 is an equidigital number, since it uses as much as digits as its factorization.

242202202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901569 (or 3901557 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 242202202240 its reverse (42202202242), we get a palindrome (284404404482).

The spelling of 242202202240 in words is "two hundred forty-two billion, two hundred two million, two hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 320 388 485 640 776 970 1552 1940 3104 3880 6208 7760 12416 15520 31040 62080 3901453 7802906 15605812 19507265 31211624 39014530 62423248 78029060 124846496 156058120 249692992 312116240 378440941 499385984 624232480 756881882 1248464960 1513763764 1892204705 2496929920 3027527528 3784409410 6055055056 7568818820 12110110112 15137637640 24220220224 30275275280 48440440448 60550550560 121101101120 242202202240