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8500227840 = 2832513211269
BaseRepresentation
bin1111110101010011…
…10010111100000000
3210221101200022111100
413322221302330000
5114402024242330
63523245214400
7420433513236
oct77251627400
923841608440
108500227840
11367217aa95
121792861400
13a56077b20
145a8cbc956
1534b3ab060
hex1faa72f00

8500227840 has 432 divisors, whose sum is σ = 31940606880. Its totient is φ = 2074705920.

The previous prime is 8500227803. The next prime is 8500227863. The reversal of 8500227840 is 487220058.

It is a happy number.

It is a super-2 number, since 2×85002278402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8500227795 and 8500227804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31599226 + ... + 31599494.

It is an arithmetic number, because the mean of its divisors is an integer number (73936590).

Almost surely, 28500227840 is an apocalyptic number.

8500227840 is a gapful number since it is divisible by the number (80) 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 8500227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15970303440).

8500227840 is an abundant number, since it is smaller than the sum of its proper divisors (23440379040).

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

8500227840 is a wasteful number, since it uses less digits than its factorization.

8500227840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 8500227840 is about 92196.6802005365. The cubic root of 8500227840 is about 2040.8457853898.

Adding to 8500227840 its reverse (487220058), we get a palindrome (8987447898).

The spelling of 8500227840 in words is "eight billion, five hundred million, two hundred twenty-seven thousand, eight hundred forty".