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2210110112 = 25722361283
BaseRepresentation
bin1000001110111011…
…1001101010100000
312201000201020010002
42003232321222200
514011242010422
61003150155132
7105524424500
oct20356715240
95630636102
102210110112
11a34605491
125181b2aa8
13292b61382
1416d74da00
15ce067692
hex83bb9aa0

2210110112 has 72 divisors (see below), whose sum is σ = 5281700256. Its totient is φ = 905993088.

The previous prime is 2210110073. The next prime is 2210110117. The reversal of 2210110112 is 2110110122.

It is a super-3 number, since 3×22101101123 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2210110093 and 2210110102.

It is not an unprimeable number, because it can be changed into a prime (2210110117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5423 + ... + 66705.

It is an arithmetic number, because the mean of its divisors is an integer number (73356948).

Almost surely, 22210110112 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 2210110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640850128).

2210110112 is an abundant number, since it is smaller than the sum of its proper divisors (3071590144).

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

2210110112 is a wasteful number, since it uses less digits than its factorization.

2210110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61330 (or 61315 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 2210110112 is about 47011.8082187869. The cubic root of 2210110112 is about 1302.5806944528.

Adding to 2210110112 its reverse (2110110122), we get a palindrome (4320220234).

The spelling of 2210110112 in words is "two billion, two hundred ten million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 92 98 112 161 184 196 224 322 368 392 644 736 784 1127 1288 1568 2254 2576 4508 5152 9016 18032 36064 61283 122566 245132 428981 490264 857962 980528 1409509 1715924 1961056 2819018 3002867 3431848 5638036 6005734 6863696 9866563 11276072 12011468 13727392 19733126 22552144 24022936 39466252 45104288 48045872 69065941 78932504 96091744 138131882 157865008 276263764 315730016 552527528 1105055056 2210110112