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220113143200 = 25521971396657
BaseRepresentation
bin1100110011111111000…
…1000000010110100000
3210001011001201020001001
43030333301000112200
512101242431040300
6245041340321344
721621415563316
oct3147761002640
9701131636031
10220113143200
11853931493a5
12367ab543254
13179ab28ca42
14a92141a0b6
155ad40de16a
hex333fc405a0

220113143200 has 72 divisors (see below), whose sum is σ = 540079268652. Its totient is φ = 87598264320.

The previous prime is 220113143191. The next prime is 220113143207. The reversal of 220113143200 is 2341311022.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 93971676304 + 126141466896 = 306548^2 + 355164^2 .

It is not an unprimeable number, because it can be changed into a prime (220113143207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 540729 + ... + 855928.

Almost surely, 2220113143200 is an apocalyptic number.

220113143200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220113143200 is an abundant number, since it is smaller than the sum of its proper divisors (319966125452).

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

220113143200 is a wasteful number, since it uses less digits than its factorization.

220113143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396874 (or 1396861 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 220113143200 its reverse (2341311022), we get a palindrome (222454454222).

The spelling of 220113143200 in words is "two hundred twenty billion, one hundred thirteen million, one hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 197 200 394 400 788 800 985 1576 1970 3152 3940 4925 6304 7880 9850 15760 19700 31520 39400 78800 157600 1396657 2793314 5586628 6983285 11173256 13966570 22346512 27933140 34916425 44693024 55866280 69832850 111732560 139665700 223465120 275141429 279331400 550282858 558662800 1100565716 1117325600 1375707145 2201131432 2751414290 4402262864 5502828580 6878535725 8804525728 11005657160 13757071450 22011314320 27514142900 44022628640 55028285800 110056571600 220113143200