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220221130112 = 2723464316111
BaseRepresentation
bin1100110100011000110…
…0111100010110000000
3210001102120220112020022
43031012030330112000
512102003102130422
6245100155033012
721624166502054
oct3150614742600
9701376815208
10220221130112
11854390a5585
123681b73b768
13179c776ba19
14a9318c9c64
155add820342
hex334633c580

220221130112 has 64 divisors (see below), whose sum is σ = 457923663360. Its totient is φ = 105293928960.

The previous prime is 220221130079. The next prime is 220221130123. The reversal of 220221130112 is 211031122022.

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

It is a super-2 number, since 2×2202211301122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13660937 + ... + 13677047.

It is an arithmetic number, because the mean of its divisors is an integer number (7155057240).

Almost surely, 2220221130112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220221130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228961831680).

220221130112 is an abundant number, since it is smaller than the sum of its proper divisors (237702533248).

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

220221130112 is a wasteful number, since it uses less digits than its factorization.

220221130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20791 (or 20779 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 220221130112 its reverse (211031122022), we get a palindrome (431252252134).

The spelling of 220221130112 in words is "two hundred twenty billion, two hundred twenty-one million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 1472 2944 4643 9286 16111 18572 32222 37144 64444 74288 106789 128888 148576 213578 257776 297152 370553 427156 515552 594304 741106 854312 1031104 1482212 1708624 2062208 2964424 3417248 5928848 6834496 11857696 13668992 23715392 47430784 74803373 149606746 299213492 598426984 1196853968 1720477579 2393707936 3440955158 4787415872 6881910316 9574831744 13763820632 27527641264 55055282528 110110565056 220221130112