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8220033 = 32913337
BaseRepresentation
bin11111010110110110000001
3120110121202200
4133112312001
54101020113
6452103413
7126604053
oct37266601
916417680
108220033
114704918
122904b69
13191a633
14113d8d3
15ac5873
hex7d6d81

8220033 has 6 divisors (see below), whose sum is σ = 11873394. Its totient is φ = 5480016.

The previous prime is 8220013. The next prime is 8220089. The reversal of 8220033 is 3300228.

8220033 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8020224 + 199809 = 2832^2 + 447^2 .

It is not a de Polignac number, because 8220033 - 26 = 8219969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8219988 and 8220015.

It is not an unprimeable number, because it can be changed into a prime (8220013) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 456660 + ... + 456677.

It is an arithmetic number, because the mean of its divisors is an integer number (1978899).

Almost surely, 28220033 is an apocalyptic number.

It is an amenable number.

8220033 is a deficient number, since it is larger than the sum of its proper divisors (3653361).

8220033 is a wasteful number, since it uses less digits than its factorization.

8220033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913343 (or 913340 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 8220033 is about 2867.0599923964. The cubic root of 8220033 is about 201.8170499859.

The spelling of 8220033 in words is "eight million, two hundred twenty thousand, thirty-three".

Divisors: 1 3 9 913337 2740011 8220033