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2221110112 = 2513171272473
BaseRepresentation
bin1000010001100011…
…0111001101100000
312201210102002021111
42010120313031200
514022101010422
61004222033104
7106020060454
oct20430671540
95653362244
102221110112
11a3a8389a1
1251ba18794
13295213150
14170db4664
15ceedba77
hex84637360

2221110112 has 96 divisors (see below), whose sum is σ = 5027484672. Its totient is φ = 956841984.

The previous prime is 2221110079. The next prime is 2221110119. The reversal of 2221110112 is 2110111222.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 2221110092 and 2221110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221110119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 896908 + ... + 899380.

It is an arithmetic number, because the mean of its divisors is an integer number (52369632).

Almost surely, 22221110112 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 2221110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513742336).

2221110112 is an abundant number, since it is smaller than the sum of its proper divisors (2806374560).

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

2221110112 is a wasteful number, since it uses less digits than its factorization.

2221110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 2221110112 is about 47128.6548927508. The cubic root of 2221110112 is about 1304.7381558494.

Adding to 2221110112 its reverse (2110111222), we get a palindrome (4331221334).

It can be divided in two parts, 2221110 and 112, that added together give a palindrome (2221222).

The spelling of 2221110112 in words is "two billion, two hundred twenty-one million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 127 136 208 221 254 272 416 442 508 544 884 1016 1651 1768 2032 2159 2473 3302 3536 4064 4318 4946 6604 7072 8636 9892 13208 17272 19784 26416 28067 32149 34544 39568 42041 52832 56134 64298 69088 79136 84082 112268 128596 168164 224536 257192 314071 336328 449072 514384 546533 628142 672656 898144 1028768 1093066 1256284 1345312 2186132 2512568 4082923 4372264 5025136 5339207 8165846 8744528 10050272 10678414 16331692 17489056 21356828 32663384 42713656 65326768 69409691 85427312 130653536 138819382 170854624 277638764 555277528 1110555056 2221110112