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233145 = 33511157
BaseRepresentation
bin111000111010111001
3102211211000
4320322321
524430040
64555213
71660503
oct707271
9384730
10233145
1114a190
12b2b09
1382173
1460d73
1549130
hex38eb9

233145 has 32 divisors (see below), whose sum is σ = 455040. Its totient is φ = 112320.

The previous prime is 233143. The next prime is 233159. The reversal of 233145 is 541332.

It is not a de Polignac number, because 233145 - 21 = 233143 is a prime.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 233145.

It is not an unprimeable number, because it can be changed into a prime (233141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1407 + ... + 1563.

It is an arithmetic number, because the mean of its divisors is an integer number (14220).

2233145 is an apocalyptic number.

It is an amenable number.

233145 is a deficient number, since it is larger than the sum of its proper divisors (221895).

233145 is a wasteful number, since it uses less digits than its factorization.

233145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 176 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 233145 is about 482.8509086664. The cubic root of 233145 is about 61.5472569560.

Adding to 233145 its reverse (541332), we get a palindrome (774477).

It can be divided in two parts, 233 and 145, that added together give a triangular number (378 = T27).

The spelling of 233145 in words is "two hundred thirty-three thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 157 165 297 471 495 785 1413 1485 1727 2355 4239 5181 7065 8635 15543 21195 25905 46629 77715 233145