Search a number
-
+
8022033 = 328310739
BaseRepresentation
bin11110100110100000010001
3120002120011100
4132212200101
54023201113
6443535013
7125120565
oct36464021
916076140
108022033
11458a088
12282a469
13187b486
1410cb6a5
15a86d73
hex7a6811

8022033 has 12 divisors (see below), whose sum is σ = 11728080. Its totient is φ = 5283096.

The previous prime is 8022029. The next prime is 8022041. The reversal of 8022033 is 3302208.

It is not a de Polignac number, because 8022033 - 22 = 8022029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8021997 and 8022015.

It is not an unprimeable number, because it can be changed into a prime (8022083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4623 + ... + 6116.

It is an arithmetic number, because the mean of its divisors is an integer number (977340).

Almost surely, 28022033 is an apocalyptic number.

8022033 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

8022033 is a deficient number, since it is larger than the sum of its proper divisors (3706047).

8022033 is a wasteful number, since it uses less digits than its factorization.

8022033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10828 (or 10825 counting only the distinct ones).

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

The square root of 8022033 is about 2832.3193675855. The cubic root of 8022033 is about 200.1834400307.

Subtracting from 8022033 its sum of digits (18), we obtain a triangular number (8022015 = T4005).

The spelling of 8022033 in words is "eight million, twenty-two thousand, thirty-three".

Divisors: 1 3 9 83 249 747 10739 32217 96651 891337 2674011 8022033