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2220020112 = 243314136389
BaseRepresentation
bin1000010001010010…
…1101000110010000
312201201100201002010
42010110231012100
514021311120422
61004142422520
7106004600562
oct20424550620
95651321063
102220020112
11a3a163a72
1251b591a40
13294c20c8b
14170bad332
15ced73b0c
hex8452d190

2220020112 has 80 divisors (see below), whose sum is σ = 6064611840. Its totient is φ = 698649600.

The previous prime is 2220020111. The next prime is 2220020161. The reversal of 2220020112 is 2110200222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2220020111) 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 15 ways as a sum of consecutive naturals, for example, 42814 + ... + 79202.

It is an arithmetic number, because the mean of its divisors is an integer number (75807648).

Almost surely, 22220020112 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 2220020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032305920).

2220020112 is an abundant number, since it is smaller than the sum of its proper divisors (3844591728).

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

2220020112 is a wasteful number, since it uses less digits than its factorization.

2220020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36472 (or 36466 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2220020112 is about 47117.0893837894. The cubic root of 2220020112 is about 1304.5246894262.

Adding to 2220020112 its reverse (2110200222), we get a palindrome (4330220334).

The spelling of 2220020112 in words is "two billion, two hundred twenty million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 41 48 62 82 93 123 124 164 186 246 248 328 372 492 496 656 744 984 1271 1488 1968 2542 3813 5084 7626 10168 15252 20336 30504 36389 61008 72778 109167 145556 218334 291112 436668 582224 873336 1128059 1491949 1746672 2256118 2983898 3384177 4475847 4512236 5967796 6768354 8951694 9024472 11935592 13536708 17903388 18048944 23871184 27073416 35806776 46250419 54146832 71613552 92500838 138751257 185001676 277502514 370003352 555005028 740006704 1110010056 2220020112