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2221210112 = 2911457863
BaseRepresentation
bin1000010001100100…
…1111101000000000
312201210121011110012
42010121033220000
514022112210422
61004224124052
7106020655142
oct20431175000
95653534405
102221210112
11a3a8a7040
1251ba66628
13295249814
14170ddcc92
15d000b4e2
hex8464fa00

2221210112 has 80 divisors (see below), whose sum is σ = 4857760512. Its totient is φ = 1006264320.

The previous prime is 2221210091. The next prime is 2221210127. The reversal of 2221210112 is 2110121222.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2573393 + ... + 2574255.

Almost surely, 22221210112 is an apocalyptic number.

2221210112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428880256).

2221210112 is an abundant number, since it is smaller than the sum of its proper divisors (2636550400).

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

2221210112 is an equidigital number, since it uses as much as digits as its factorization.

2221210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2221210112 is about 47129.7158064846. The cubic root of 2221210112 is about 1304.7577364271.

Adding to 2221210112 its reverse (2110121222), we get a palindrome (4331331334).

The spelling of 2221210112 in words is "two billion, two hundred twenty-one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 457 512 704 863 914 1408 1726 1828 2816 3452 3656 5027 5632 6904 7312 9493 10054 13808 14624 18986 20108 27616 29248 37972 40216 55232 58496 75944 80432 110464 116992 151888 160864 220928 233984 303776 321728 394391 441856 607552 643456 788782 1215104 1286912 1577564 2430208 2573824 3155128 4338301 4860416 6310256 8676602 12620512 17353204 25241024 34706408 50482048 69412816 100964096 138825632 201928192 277651264 555302528 1110605056 2221210112