Search a number
-
+
10522303220 = 225111373101499
BaseRepresentation
bin10011100110010110…
…11001101011110100
31000011022120101110002
421303023121223310
5133022202200340
64500041250432
7521516046602
oct116313315364
930138511402
1010522303220
11450a625170
122057a93a18
13cb8c81130
1471b682872
15418b7e715
hex2732d9af4

10522303220 has 192 divisors, whose sum is σ = 26629344000. Its totient is φ = 3442176000.

The previous prime is 10522303193. The next prime is 10522303229. The reversal of 10522303220 is 2230322501.

It is a super-2 number, since 2×105223032202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10522303192 and 10522303201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10522303229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21086531 + ... + 21087029.

It is an arithmetic number, because the mean of its divisors is an integer number (138694500).

Almost surely, 210522303220 is an apocalyptic number.

10522303220 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 10522303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13314672000).

10522303220 is an abundant number, since it is smaller than the sum of its proper divisors (16107040780).

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

10522303220 is a wasteful number, since it uses less digits than its factorization.

10522303220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 10522303220 its reverse (2230322501), we get a palindrome (12752625721).

The spelling of 10522303220 in words is "ten billion, five hundred twenty-two million, three hundred three thousand, two hundred twenty".