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233122033 is a prime number
BaseRepresentation
bin11011110010100…
…10100011110001
3121020122211022101
431321102203301
5434134401113
635044340401
75530335034
oct1571224361
9536584271
10233122033
1110a656041
12660a4701
13393b3341
1422d6501b
15156ed2dd
hexde528f1

233122033 has 2 divisors, whose sum is σ = 233122034. Its totient is φ = 233122032.

The previous prime is 233122031. The next prime is 233122079. The reversal of 233122033 is 330221332.

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., 230523489 + 2598544 = 15183^2 + 1612^2 .

It is a cyclic number.

It is not a de Polignac number, because 233122033 - 21 = 233122031 is a prime.

Together with 233122031, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 233122033.

It is not a weakly prime, because it can be changed into another prime (233122031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116561016 + 116561017.

It is an arithmetic number, because the mean of its divisors is an integer number (116561017).

Almost surely, 2233122033 is an apocalyptic number.

It is an amenable number.

233122033 is a deficient number, since it is larger than the sum of its proper divisors (1).

233122033 is an equidigital number, since it uses as much as digits as its factorization.

233122033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 233122033 is about 15268.3343230360. The cubic root of 233122033 is about 615.4523589289.

Adding to 233122033 its reverse (330221332), we get a palindrome (563343365).

The spelling of 233122033 in words is "two hundred thirty-three million, one hundred twenty-two thousand, thirty-three".