Search a number
-
+
112230522 = 235297963
BaseRepresentation
bin1101011000010…
…00000001111010
321211011220100000
412230020001322
5212212334042
615045253430
72531641455
oct654100172
9254156300
10112230522
11583954a8
1231704276
131a3366c1
1410c9649c
159cbd74c
hex6b0807a

112230522 has 48 divisors (see below), whose sum is σ = 260900640. Its totient is φ = 36115632.

The previous prime is 112230499. The next prime is 112230527. The reversal of 112230522 is 225032211.

112230522 is a `hidden beast` number, since 112 + 2 + 30 + 522 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112230495 and 112230504.

It is not an unprimeable number, because it can be changed into a prime (112230527) 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, 10113 + ... + 18075.

It is an arithmetic number, because the mean of its divisors is an integer number (5435430).

Almost surely, 2112230522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112230522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130450320).

112230522 is an abundant number, since it is smaller than the sum of its proper divisors (148670118).

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

112230522 is an equidigital number, since it uses as much as digits as its factorization.

112230522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8009 (or 7997 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 112230522 is about 10593.8907866751. The cubic root of 112230522 is about 482.3589350208.

Adding to 112230522 its reverse (225032211), we get a palindrome (337262733).

The spelling of 112230522 in words is "one hundred twelve million, two hundred thirty thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 243 261 486 522 783 1566 2349 4698 7047 7963 14094 15926 23889 47778 71667 143334 215001 230927 430002 461854 645003 692781 1290006 1385562 1935009 2078343 3870018 4156686 6235029 12470058 18705087 37410174 56115261 112230522