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112206016 = 2613157859
BaseRepresentation
bin1101011000000…
…10000011000000
321211010122201101
412230002003000
5212211043031
615044544144
72531510146
oct654020300
9254118641
10112206016
115837904a
12316b2054
131a3284c0
1410c8b596
159cb6361
hex6b020c0

112206016 has 56 divisors (see below), whose sum is σ = 241594640. Its totient is φ = 51397632.

The previous prime is 112206013. The next prime is 112206041. The reversal of 112206016 is 610602211.

It is a junction number, because it is equal to n+sod(n) for n = 112205984 and 112206002.

It is not an unprimeable number, because it can be changed into a prime (112206013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130195 + ... + 131053.

It is an arithmetic number, because the mean of its divisors is an integer number (4314190).

Almost surely, 2112206016 is an apocalyptic number.

112206016 is a gapful number since it is divisible by the number (16) 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 112206016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120797320).

112206016 is an abundant number, since it is smaller than the sum of its proper divisors (129388624).

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

112206016 is a wasteful number, since it uses less digits than its factorization.

112206016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 112206016 is about 10592.7341135327. The cubic root of 112206016 is about 482.3238241070.

Adding to 112206016 its reverse (610602211), we get a palindrome (722808227).

The spelling of 112206016 in words is "one hundred twelve million, two hundred six thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 157 208 314 416 628 832 859 1256 1718 2041 2512 3436 4082 5024 6872 8164 10048 11167 13744 16328 22334 27488 32656 44668 54976 65312 89336 130624 134863 178672 269726 357344 539452 714688 1078904 1753219 2157808 3506438 4315616 7012876 8631232 14025752 28051504 56103008 112206016