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8224733 = 112101673
BaseRepresentation
bin11111010111111111011101
3120110212012202
4133113333131
54101142413
6452141245
7126623546
oct37277735
916425182
108224733
114708400
122907825
13191c80a
1411414cd
15ac6e58
hex7d7fdd

8224733 has 12 divisors (see below), whose sum is σ = 9143484. Its totient is φ = 7392000.

The previous prime is 8224729. The next prime is 8224747. The reversal of 8224733 is 3374228.

It can be written as a sum of positive squares in 2 ways, for example, as 5750404 + 2474329 = 2398^2 + 1573^2 .

It is not a de Polignac number, because 8224733 - 22 = 8224729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8224696 and 8224705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8224763) 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 11 ways as a sum of consecutive naturals, for example, 11885 + ... + 12557.

It is an arithmetic number, because the mean of its divisors is an integer number (761957).

Almost surely, 28224733 is an apocalyptic number.

It is an amenable number.

8224733 is a deficient number, since it is larger than the sum of its proper divisors (918751).

8224733 is a wasteful number, since it uses less digits than its factorization.

8224733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 785 counting only the distinct ones).

The product of its digits is 8064, while the sum is 29.

The square root of 8224733 is about 2867.8795302453. The cubic root of 8224733 is about 201.8555072285.

It can be divided in two parts, 822 and 4733, that added together give a palindrome (5555).

The spelling of 8224733 in words is "eight million, two hundred twenty-four thousand, seven hundred thirty-three".

Divisors: 1 11 101 121 673 1111 7403 12221 67973 81433 747703 8224733