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33242333 is a prime number
BaseRepresentation
bin111111011001…
…1110011011101
32022112212220112
41332303303131
532002223313
63144255405
7552361265
oct176636335
968485815
1033242333
1117845503
12b171565
136b6ba27
1445b47a5
152db98a8
hex1fb3cdd

33242333 has 2 divisors, whose sum is σ = 33242334. Its totient is φ = 33242332.

The previous prime is 33242329. The next prime is 33242357. The reversal of 33242333 is 33324233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18164644 + 15077689 = 4262^2 + 3883^2 .

It is a cyclic number.

It is not a de Polignac number, because 33242333 - 22 = 33242329 is a prime.

It is a super-2 number, since 2×332423332 = 2210105406565778, which contains 22 as substring.

It is equal to p2045633 and since 33242333 and 2045633 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 33242299 and 33242308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33242303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16621166 + 16621167.

It is an arithmetic number, because the mean of its divisors is an integer number (16621167).

Almost surely, 233242333 is an apocalyptic number.

It is an amenable number.

33242333 is a deficient number, since it is larger than the sum of its proper divisors (1).

33242333 is an equidigital number, since it uses as much as digits as its factorization.

33242333 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3888, while the sum is 23.

The square root of 33242333 is about 5765.6164457931. The cubic root of 33242333 is about 321.5366617683.

Adding to 33242333 its reverse (33324233), we get a palindrome (66566566).

The spelling of 33242333 in words is "thirty-three million, two hundred forty-two thousand, three hundred thirty-three".