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220244024442 = 231316337945707
BaseRepresentation
bin1100110100011110010…
…0010001110001111010
3210001111011222200100110
43031013210101301322
512102024432240232
6245102333445150
721624565214301
oct3150744216172
9701434880313
10220244024442
1185450012412
12368273407b6
13179cc426670
14a934969438
155ae0843acc
hex3347911c7a

220244024442 has 64 divisors (see below), whose sum is σ = 478551790080. Its totient is φ = 67172462784.

The previous prime is 220244024401. The next prime is 220244024447. The reversal of 220244024442 is 244420442022.

It is a happy number.

220244024442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2202440244422 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220244024447) 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 31 ways as a sum of consecutive naturals, for example, 4795753 + ... + 4841459.

It is an arithmetic number, because the mean of its divisors is an integer number (7477371720).

Almost surely, 2220244024442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220244024442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239275895040).

220244024442 is an abundant number, since it is smaller than the sum of its proper divisors (258307765638).

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

220244024442 is a wasteful number, since it uses less digits than its factorization.

220244024442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46267.

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 220244024442 its reverse (244420442022), we get a palindrome (464664466464).

The spelling of 220244024442 in words is "two hundred twenty billion, two hundred forty-four million, twenty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 163 326 379 489 758 978 1137 2119 2274 4238 4927 6357 9854 12714 14781 29562 45707 61777 91414 123554 137121 185331 274242 370662 594191 803101 1188382 1606202 1782573 2409303 3565146 4818606 7450241 14900482 17322953 22350723 34645906 44701446 51968859 96853133 103937718 193706266 225198389 290559399 450396778 581118798 675595167 1351190334 2823641339 5647282678 8470924017 16941848034 36707337407 73414674814 110122012221 220244024442