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2122333 is a prime number
BaseRepresentation
bin1000000110001001011101
310222211021221
420012021131
51020403313
6113253341
724016363
oct10061135
93884257
102122333
11121a5a4
12864251
13594025
143d3633
152bdc8d
hex20625d

2122333 has 2 divisors, whose sum is σ = 2122334. Its totient is φ = 2122332.

The previous prime is 2122327. The next prime is 2122349. The reversal of 2122333 is 3332212.

It is an a-pointer prime, because the next prime (2122349) can be obtained adding 2122333 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1855044 + 267289 = 1362^2 + 517^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122333 - 213 = 2114141 is a prime.

2122333 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061166 + 1061167.

It is an arithmetic number, because the mean of its divisors is an integer number (1061167).

22122333 is an apocalyptic number.

It is an amenable number.

2122333 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122333 is an equidigital number, since it uses as much as digits as its factorization.

2122333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 16.

The square root of 2122333 is about 1456.8229130543. The cubic root of 2122333 is about 128.5102718552.

Adding to 2122333 its reverse (3332212), we get a palindrome (5454545).

The spelling of 2122333 in words is "two million, one hundred twenty-two thousand, three hundred thirty-three".