Search a number
-
+
10112223240 = 23325723174469
BaseRepresentation
bin10010110101011110…
…00100100000001000
3222002201221011110200
421122233010200020
5131202212120430
64351232012200
7505406323260
oct113257044010
928081834420
1010112223240
11431a0a4a99
121b62691060
13c52020762
146bd0167a0
153e2b79460
hex25abc4808

10112223240 has 192 divisors, whose sum is σ = 39192940800. Its totient is φ = 2210858496.

The previous prime is 10112223197. The next prime is 10112223241. The reversal of 10112223240 is 4232221101.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (10112223241) 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 47 ways as a sum of consecutive naturals, for example, 29275 + ... + 145194.

It is an arithmetic number, because the mean of its divisors is an integer number (204129900).

Almost surely, 210112223240 is an apocalyptic number.

10112223240 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 10112223240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19596470400).

10112223240 is an abundant number, since it is smaller than the sum of its proper divisors (29080717560).

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

10112223240 is a wasteful number, since it uses less digits than its factorization.

10112223240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174516 (or 174509 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10112223240 its reverse (4232221101), we get a palindrome (14344444341).

The spelling of 10112223240 in words is "ten billion, one hundred twelve million, two hundred twenty-three thousand, two hundred forty".