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22814112 = 2531072221
BaseRepresentation
bin101011100000…
…1110110100000
31120221002002010
41113001312200
521320022422
62132552520
7364626306
oct127016640
946832063
1022814112
1111972642
127782740
13495a299
14305c276
152009b0c
hex15c1da0

22814112 has 48 divisors (see below), whose sum is σ = 60473952. Its totient is φ = 7530240.

The previous prime is 22814107. The next prime is 22814201. The reversal of 22814112 is 21141822.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

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, 9162 + ... + 11382.

It is an arithmetic number, because the mean of its divisors is an integer number (1259874).

Almost surely, 222814112 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 22814112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30236976).

22814112 is an abundant number, since it is smaller than the sum of its proper divisors (37659840).

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

22814112 is a wasteful number, since it uses less digits than its factorization.

22814112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2333 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

The square root of 22814112 is about 4776.4120425273. The cubic root of 22814112 is about 283.6184786404.

Adding to 22814112 its reverse (21141822), we get a palindrome (43955934).

The spelling of 22814112 in words is "twenty-two million, eight hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1712 2221 2568 3424 4442 5136 6663 8884 10272 13326 17768 26652 35536 53304 71072 106608 213216 237647 475294 712941 950588 1425882 1901176 2851764 3802352 5703528 7604704 11407056 22814112