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233133233 = 29109131563
BaseRepresentation
bin11011110010101…
…01010010110001
3121020200101200012
431321111102301
5434140230413
635044504305
75530412504
oct1571252261
9536611605
10233133233
1110a6634a3
12660ab095
13393b8478
1422d6913b
15157017a8
hexde554b1

233133233 has 16 divisors (see below), whose sum is σ = 245678400. Its totient is φ = 220933440.

The previous prime is 233133217. The next prime is 233133247. The reversal of 233133233 is 332331332.

It is a cyclic number.

It is not a de Polignac number, because 233133233 - 24 = 233133217 is a prime.

It is a super-2 number, since 2×2331332332 = 108702208658064578, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 233133199 and 233133208.

It is not an unprimeable number, because it can be changed into a prime (233133253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413810 + ... + 414372.

It is an arithmetic number, because the mean of its divisors is an integer number (15354900).

Almost surely, 2233133233 is an apocalyptic number.

It is an amenable number.

233133233 is a deficient number, since it is larger than the sum of its proper divisors (12545167).

233133233 is a wasteful number, since it uses less digits than its factorization.

233133233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832.

The product of its digits is 2916, while the sum is 23.

The square root of 233133233 is about 15268.7010907935. The cubic root of 233133233 is about 615.4622149343.

Adding to 233133233 its reverse (332331332), we get a palindrome (565464565).

The spelling of 233133233 in words is "two hundred thirty-three million, one hundred thirty-three thousand, two hundred thirty-three".

Divisors: 1 29 109 131 563 3161 3799 14279 16327 61367 73753 414091 1779643 2138837 8039077 233133233