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3223333 is a prime number
BaseRepresentation
bin1100010010111100100101
320001202120201
430102330211
51311121313
6153030501
736253321
oct14227445
96052521
103223333
111901813
1210b5431
1388b1c9
145dc981
1543a0dd
hex312f25

3223333 has 2 divisors, whose sum is σ = 3223334. Its totient is φ = 3223332.

The previous prime is 3223309. The next prime is 3223343. The reversal of 3223333 is 3333223.

3223333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2259009 + 964324 = 1503^2 + 982^2 .

It is a cyclic number.

It is not a de Polignac number, because 3223333 - 213 = 3215141 is a prime.

It is a d-powerful number, because it can be written as 35 + 23 + 213 + 38 + 39 + 313 + 313 .

3223333 is a modest number, since divided by 3333 gives 322 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 3223333.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3223343) 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 as a sum of consecutive naturals, namely, 1611666 + 1611667.

It is an arithmetic number, because the mean of its divisors is an integer number (1611667).

Almost surely, 23223333 is an apocalyptic number.

It is an amenable number.

3223333 is a deficient number, since it is larger than the sum of its proper divisors (1).

3223333 is an equidigital number, since it uses as much as digits as its factorization.

3223333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 972, while the sum is 19.

The square root of 3223333 is about 1795.3643084344. The cubic root of 3223333 is about 147.7185575407.

Adding to 3223333 its reverse (3333223), we get a palindrome (6556556).

It can be divided in two parts, 322 and 3333, that added together give a triangular number (3655 = T85).

The spelling of 3223333 in words is "three million, two hundred twenty-three thousand, three hundred thirty-three".