Search a number
-
+
235033320 = 233523314167
BaseRepresentation
bin11100000001001…
…01001011101000
3121101020221002210
432000211023220
5440132031240
635153325120
75552515224
oct1600451350
9541227083
10235033320
11110741015
12668667a0
1339902292
1423301784
1515979780
hexe0252e8

235033320 has 256 divisors, whose sum is σ = 789626880. Its totient is φ = 55756800.

The previous prime is 235033301. The next prime is 235033327. The reversal of 235033320 is 23330532.

235033320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (235033327) 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 63 ways as a sum of consecutive naturals, for example, 3507927 + ... + 3507993.

It is an arithmetic number, because the mean of its divisors is an integer number (3084480).

Almost surely, 2235033320 is an apocalyptic number.

235033320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394813440).

235033320 is an abundant number, since it is smaller than the sum of its proper divisors (554593560).

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

235033320 is a wasteful number, since it uses less digits than its factorization.

235033320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 21.

The square root of 235033320 is about 15330.7964568055. The cubic root of 235033320 is about 617.1297435608.

Adding to 235033320 its reverse (23330532), we get a palindrome (258363852).

The spelling of 235033320 in words is "two hundred thirty-five million, thirty-three thousand, three hundred twenty".