Search a number
-
+
233136 = 24321619
BaseRepresentation
bin111000111010110000
3102211210200
4320322300
524430021
64555200
71660461
oct707260
9384720
10233136
1114a182
12b2b00
1382167
1460d68
1549126
hex38eb0

233136 has 30 divisors (see below), whose sum is σ = 652860. Its totient is φ = 77664.

The previous prime is 233117. The next prime is 233141. The reversal of 233136 is 631332.

It is a happy number.

233136 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 233136.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 666 + ... + 953.

It is an arithmetic number, because the mean of its divisors is an integer number (21762).

2233136 is an apocalyptic number.

It is an amenable number.

233136 is an abundant number, since it is smaller than the sum of its proper divisors (419724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233136 is a wasteful number, since it uses less digits than its factorization.

233136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1624 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 233136 is about 482.8415889295. The cubic root of 233136 is about 61.5464649847.

Adding to 233136 its reverse (631332), we get a palindrome (864468).

The spelling of 233136 in words is "two hundred thirty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1619 3238 4857 6476 9714 12952 14571 19428 25904 29142 38856 58284 77712 116568 233136