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112223104 = 277251499
BaseRepresentation
bin1101011000001…
…10001110000000
321211011112011021
412230012032000
5212212114404
615045155224
72531611030
oct654061600
9254145137
10112223104
115838a974
12316bbb14
131a333206
1410c938c0
159cbb454
hex6b06380

112223104 has 64 divisors (see below), whose sum is σ = 257040000. Its totient is φ = 47808000.

The previous prime is 112223099. The next prime is 112223113. The reversal of 112223104 is 401322211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224647 + ... + 225145.

It is an arithmetic number, because the mean of its divisors is an integer number (4016250).

Almost surely, 2112223104 is an apocalyptic number.

112223104 is a gapful number since it is divisible by the number (14) 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 112223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128520000).

112223104 is an abundant number, since it is smaller than the sum of its proper divisors (144816896).

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

112223104 is an equidigital number, since it uses as much as digits as its factorization.

112223104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 112223104 is about 10593.5406734481. The cubic root of 112223104 is about 482.3483074382.

Adding to 112223104 its reverse (401322211), we get a palindrome (513545315).

The spelling of 112223104 in words is "one hundred twelve million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 251 448 499 502 896 998 1004 1757 1996 2008 3493 3514 3992 4016 6986 7028 7984 8032 13972 14056 15968 16064 27944 28112 31936 32128 55888 56224 63872 111776 112448 125249 223552 224896 250498 447104 500996 876743 1001992 1753486 2003984 3506972 4007968 7013944 8015936 14027888 16031872 28055776 56111552 112223104