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112204200 = 23352434349
BaseRepresentation
bin1101011000000…
…01100110101000
321211010120020010
412230001212220
5212211013300
615044531520
72531501643
oct654014650
9254116203
10112204200
1158377749
12316b0ba0
131a327724
1410c8aa5a
159cb5a50
hex6b019a8

112204200 has 96 divisors (see below), whose sum is σ = 356004000. Its totient is φ = 29218560.

The previous prime is 112204153. The next prime is 112204201. The reversal of 112204200 is 2402211.

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

It is not an unprimeable number, because it can be changed into a prime (112204201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 23626 + ... + 27974.

It is an arithmetic number, because the mean of its divisors is an integer number (3708375).

Almost surely, 2112204200 is an apocalyptic number.

112204200 is a gapful number since it is divisible by the number (10) 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 112204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178002000).

112204200 is an abundant number, since it is smaller than the sum of its proper divisors (243799800).

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

112204200 is a wasteful number, since it uses less digits than its factorization.

112204200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4411 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 112204200 is about 10592.6483940514. The cubic root of 112204200 is about 482.3212220339.

Adding to 112204200 its reverse (2402211), we get a palindrome (114606411).

The spelling of 112204200 in words is "one hundred twelve million, two hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 129 150 172 200 215 258 300 344 430 516 600 645 860 1032 1075 1290 1720 2150 2580 3225 4300 4349 5160 6450 8600 8698 12900 13047 17396 21745 25800 26094 34792 43490 52188 65235 86980 104376 108725 130470 173960 187007 217450 260940 326175 374014 434900 521880 561021 652350 748028 869800 935035 1122042 1304700 1496056 1870070 2244084 2609400 2805105 3740140 4488168 4675175 5610210 7480280 9350350 11220420 14025525 18700700 22440840 28051050 37401400 56102100 112204200