Search a number
-
+
11223251208 = 233213194091543
BaseRepresentation
bin10100111001111010…
…10011100100001000
31001222011112020022200
422130331103210020
5140441123014313
65053401120200
7545060030001
oct123475234410
931864466280
1011223251208
11483a261824
122212789060
13109b262b60
147867c61a8
1545a48cb73
hex29cf53908

11223251208 has 192 divisors, whose sum is σ = 34563984000. Its totient is φ = 3261441024.

The previous prime is 11223251203. The next prime is 11223251219. The reversal of 11223251208 is 80215232211.

11223251208 is a `hidden beast` number, since 112 + 2 + 32 + 512 + 0 + 8 = 666.

It is a super-2 number, since 2×112232512082 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11223251201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7272885 + ... + 7274427.

It is an arithmetic number, because the mean of its divisors is an integer number (180020750).

Almost surely, 211223251208 is an apocalyptic number.

11223251208 is a gapful number since it is divisible by the number (18) 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 11223251208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17281992000).

11223251208 is an abundant number, since it is smaller than the sum of its proper divisors (23340732792).

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

11223251208 is a wasteful number, since it uses less digits than its factorization.

11223251208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 11223251208 its reverse (80215232211), we get a palindrome (91438483419).

The spelling of 11223251208 in words is "eleven billion, two hundred twenty-three million, two hundred fifty-one thousand, two hundred eight".