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2211110112 = 25347523937
BaseRepresentation
bin1000001111001010…
…1101110011100000
312201002121000212010
42003302231303200
514012021010422
61003223432520
7105536061111
oct20362556340
95632530763
102211110112
11a35128832
125185b5740
132931215a3
1416d930208
15ce1b3b0c
hex83cadce0

2211110112 has 96 divisors (see below), whose sum is σ = 5945329152. Its totient is φ = 719207424.

The previous prime is 2211109997. The next prime is 2211110131. The reversal of 2211110112 is 2110111122.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2359308 + ... + 2360244.

It is an arithmetic number, because the mean of its divisors is an integer number (61930512).

Almost surely, 22211110112 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 2211110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972664576).

2211110112 is an abundant number, since it is smaller than the sum of its proper divisors (3734219040).

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

2211110112 is a wasteful number, since it uses less digits than its factorization.

2211110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 2211110112 is about 47022.4426417854. The cubic root of 2211110112 is about 1302.7771227180. Note that the first 3 decimals are identical.

Adding to 2211110112 its reverse (2110111122), we get a palindrome (4321221234).

It can be divided in two parts, 22111 and 10112, that added together give a palindrome (32223).

The spelling of 2211110112 in words is "two billion, two hundred eleven million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 523 564 752 937 1046 1128 1504 1569 1874 2092 2256 2811 3138 3748 4184 4512 5622 6276 7496 8368 11244 12552 14992 16736 22488 24581 25104 29984 44039 44976 49162 50208 73743 88078 89952 98324 132117 147486 176156 196648 264234 294972 352312 393296 490051 528468 589944 704624 786592 980102 1056936 1179888 1409248 1470153 1960204 2113872 2359776 2940306 3920408 4227744 5880612 7840816 11761224 15681632 23032397 23522448 46064794 47044896 69097191 92129588 138194382 184259176 276388764 368518352 552777528 737036704 1105555056 2211110112