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22004033 = 19260953
BaseRepresentation
bin101001111110…
…0000101000001
31112101220212012
41103330011001
521113112113
62103342305
7355013462
oct123740501
945356765
1022004033
1111469a57
127451995
13473564c
142ccad69
151de9aa8
hex14fc141

22004033 has 6 divisors (see below), whose sum is σ = 23223474. Its totient is φ = 20845584.

The previous prime is 22004009. The next prime is 22004039. The reversal of 22004033 is 33040022.

It can be written as a sum of positive squares in only one way, i.e., 15618304 + 6385729 = 3952^2 + 2527^2 .

It is not a de Polignac number, because 22004033 - 28 = 22003777 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22003999 and 22004017.

It is not an unprimeable number, because it can be changed into a prime (22004039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30116 + ... + 30837.

It is an arithmetic number, because the mean of its divisors is an integer number (3870579).

Almost surely, 222004033 is an apocalyptic number.

It is an amenable number.

22004033 is a deficient number, since it is larger than the sum of its proper divisors (1219441).

22004033 is an equidigital number, since it uses as much as digits as its factorization.

22004033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60991 (or 60972 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 22004033 is about 4690.8456593668. The cubic root of 22004033 is about 280.2210541779.

Adding to 22004033 its reverse (33040022), we get a palindrome (55044055).

The spelling of 22004033 in words is "twenty-two million, four thousand, thirty-three".

Divisors: 1 19 361 60953 1158107 22004033