Search a number
-
+
235424024 = 23111729257
BaseRepresentation
bin11100000100001…
…00100100011000
3121101222210001022
432002010210120
5440232032044
635205542012
75556033263
oct1602044430
9541883038
10235424024
11110988610
1266a14908
1339a0b074
14233a3cda
1515a053ee
hexe084918

235424024 has 48 divisors (see below), whose sum is σ = 511597080. Its totient is φ = 100705280.

The previous prime is 235424017. The next prime is 235424027. The reversal of 235424024 is 420424532.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 235423984 and 235424002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235424027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20804 + ... + 30060.

Almost surely, 2235424024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235424024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255798540).

235424024 is an abundant number, since it is smaller than the sum of its proper divisors (276173056).

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

235424024 is a wasteful number, since it uses less digits than its factorization.

235424024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9308 (or 9287 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 235424024 is about 15343.5336216922. The cubic root of 235424024 is about 617.4715129433.

Adding to 235424024 its reverse (420424532), we get a palindrome (655848556).

The spelling of 235424024 in words is "two hundred thirty-five million, four hundred twenty-four thousand, twenty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 289 374 578 748 1156 1496 2312 3179 6358 9257 12716 18514 25432 37028 74056 101827 157369 203654 314738 407308 629476 814616 1258952 1731059 2675273 3462118 5350546 6924236 10701092 13848472 21402184 29428003 58856006 117712012 235424024