Search a number
-
+
112245400 = 23524711941
BaseRepresentation
bin1101011000010…
…11101010011000
321211012122202001
412230023222120
5212213323100
615045450344
72532033031
oct654135230
9254178661
10112245400
11583a56a3
12317109b4
131a3403c7
1410c9ba88
159cc2d6a
hex6b0ba98

112245400 has 48 divisors (see below), whose sum is σ = 266545440. Its totient is φ = 43939200.

The previous prime is 112245377. The next prime is 112245401. The reversal of 112245400 is 4542211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112245401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3430 + ... + 15370.

It is an arithmetic number, because the mean of its divisors is an integer number (5553030).

Almost surely, 2112245400 is an apocalyptic number.

112245400 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 112245400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133272720).

112245400 is an abundant number, since it is smaller than the sum of its proper divisors (154300040).

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

112245400 is a wasteful number, since it uses less digits than its factorization.

112245400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12004 (or 11995 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 112245400 is about 10594.5929605625. The cubic root of 112245400 is about 482.3802489468.

Adding to 112245400 its reverse (4542211), we get a palindrome (116787611).

The spelling of 112245400 in words is "one hundred twelve million, two hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 940 1175 1880 2350 4700 9400 11941 23882 47764 59705 95528 119410 238820 298525 477640 561227 597050 1122454 1194100 2244908 2388200 2806135 4489816 5612270 11224540 14030675 22449080 28061350 56122700 112245400