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8353228816 = 247323132
BaseRepresentation
bin1111100011110010…
…00010100000010000
3210120011001222202001
413301321002200100
5114101411310231
63500514403344
7414000162532
oct76171024020
923504058661
108353228816
1135a71a8499
121751590554
13a31789b5a
14593575852
1533d520b61
hex1f1e42810

8353228816 has 45 divisors (see below), whose sum is σ = 16461714519. Its totient is φ = 4106239488.

The previous prime is 8353228787. The next prime is 8353228841. The reversal of 8353228816 is 6188223538.

It is a happy number.

The square root of 8353228816 is 91396.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2959795216 + 5393433600 = 54404^2 + 73440^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 26687476 + ... + 26687788.

Almost surely, 28353228816 is an apocalyptic number.

8353228816 is the 91396-th square number.

It is an amenable number.

8353228816 is a deficient number, since it is larger than the sum of its proper divisors (8108485703).

8353228816 is an frugal number, since it uses more digits than its factorization.

8353228816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 388 counting only the distinct ones).

The product of its digits is 552960, while the sum is 46.

The cubic root of 8353228816 is about 2029.0128274728.

It can be divided in two parts, 8353 and 228816, that added together give a square (237169 = 4872).

The spelling of 8353228816 in words is "eight billion, three hundred fifty-three million, two hundred twenty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 73 146 292 313 584 626 1168 1252 2504 5008 5329 10658 21316 22849 42632 45698 85264 91396 97969 182792 195938 365584 391876 783752 1567504 1667977 3335954 6671908 7151737 13343816 14303474 26687632 28606948 57213896 114427792 522076801 1044153602 2088307204 4176614408 8353228816