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233808821 is a prime number
BaseRepresentation
bin11011110111110…
…10001110110101
3121021221201101222
431323322032311
5434323340241
635111200125
75536225241
oct1573721665
9537851358
10233808821
1110aa85034
1266376045
1339593b1c
14230a3421
15157d6a4b
hexdefa3b5

233808821 has 2 divisors, whose sum is σ = 233808822. Its totient is φ = 233808820.

The previous prime is 233808793. The next prime is 233808877. The reversal of 233808821 is 128808332.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 151634596 + 82174225 = 12314^2 + 9065^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-233808821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233828821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116904410 + 116904411.

It is an arithmetic number, because the mean of its divisors is an integer number (116904411).

Almost surely, 2233808821 is an apocalyptic number.

It is an amenable number.

233808821 is a deficient number, since it is larger than the sum of its proper divisors (1).

233808821 is an equidigital number, since it uses as much as digits as its factorization.

233808821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 233808821 is about 15290.8083828161. The cubic root of 233808821 is about 616.0561498333.

The spelling of 233808821 in words is "two hundred thirty-three million, eight hundred eight thousand, eight hundred twenty-one".