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233730133 = 7139726479
BaseRepresentation
bin11011110111001…
…11000001010101
3121021210201110121
431323213001111
5434313331013
635105351541
75535446650
oct1573470125
9537721417
10233730133
1110aa309aa
12663385b1
1339567070
1423082897
15157bd58d
hexdee7055

233730133 has 16 divisors (see below), whose sum is σ = 290644480. Its totient is φ = 183015936.

The previous prime is 233730131. The next prime is 233730137. The reversal of 233730133 is 331037332.

It is a 5-Lehmer number, since φ(233730133) divides (233730133-1)5.

It is a cyclic number.

It is not a de Polignac number, because 233730133 - 21 = 233730131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233730098 and 233730107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233730131) 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, 4413 + ... + 22066.

It is an arithmetic number, because the mean of its divisors is an integer number (18165280).

Almost surely, 2233730133 is an apocalyptic number.

233730133 is the 8827-th octagonal number.

It is an amenable number.

233730133 is a deficient number, since it is larger than the sum of its proper divisors (56914347).

233730133 is a wasteful number, since it uses less digits than its factorization.

233730133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26596.

The product of its (nonzero) digits is 3402, while the sum is 25.

The square root of 233730133 is about 15288.2351172397. The cubic root of 233730133 is about 615.9870311614.

Adding to 233730133 its reverse (331037332), we get a palindrome (564767465).

The spelling of 233730133 in words is "two hundred thirty-three million, seven hundred thirty thousand, one hundred thirty-three".

Divisors: 1 7 13 91 97 679 1261 8827 26479 185353 344227 2409589 2568463 17979241 33390019 233730133