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332314033 is a prime number
BaseRepresentation
bin10011110011101…
…011010110110001
3212011022022011011
4103303223112301
51140033022113
652550350521
711143423402
oct2363532661
9764268134
10332314033
111606454a7
129335b441
1353b0312c
14321c59a9
151e29363d
hex13ceb5b1

332314033 has 2 divisors, whose sum is σ = 332314034. Its totient is φ = 332314032.

The previous prime is 332314013. The next prime is 332314049. The reversal of 332314033 is 330413233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185831424 + 146482609 = 13632^2 + 12103^2 .

It is a cyclic number.

It is not a de Polignac number, because 332314033 - 25 = 332314001 is a prime.

It is a super-2 number, since 2×3323140332 = 220865233057450178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332313995 and 332314013.

It is not a weakly prime, because it can be changed into another prime (332314013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166157016 + 166157017.

It is an arithmetic number, because the mean of its divisors is an integer number (166157017).

Almost surely, 2332314033 is an apocalyptic number.

It is an amenable number.

332314033 is a deficient number, since it is larger than the sum of its proper divisors (1).

332314033 is an equidigital number, since it uses as much as digits as its factorization.

332314033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 22.

The square root of 332314033 is about 18229.4825214541. The cubic root of 332314033 is about 692.6538093625.

Adding to 332314033 its reverse (330413233), we get a palindrome (662727266).

The spelling of 332314033 in words is "three hundred thirty-two million, three hundred fourteen thousand, thirty-three".