Search a number
-
+
235250568 = 23347231239
BaseRepresentation
bin11100000010110…
…10001110001000
3121101122222010000
432001122032020
5440211004233
635202123000
75554411500
oct1601321610
9541588100
10235250568
1111087a263
1266950460
133997a127
142335aa00
15159bdd13
hexe05a388

235250568 has 240 divisors, whose sum is σ = 794534400. Its totient is φ = 64774080.

The previous prime is 235250567. The next prime is 235250569. The reversal of 235250568 is 865052532.

It is a happy number.

235250568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (235250567) and next prime (235250569).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235250563) 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 59 ways as a sum of consecutive naturals, for example, 984193 + ... + 984431.

It is an arithmetic number, because the mean of its divisors is an integer number (3310560).

Almost surely, 2235250568 is an apocalyptic number.

235250568 is a gapful number since it is divisible by the number (28) 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 235250568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397267200).

235250568 is an abundant number, since it is smaller than the sum of its proper divisors (559283832).

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

235250568 is a wasteful number, since it uses less digits than its factorization.

235250568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 235250568 is about 15337.8801664376. The cubic root of 235250568 is about 617.3198285459.

The spelling of 235250568 in words is "two hundred thirty-five million, two hundred fifty thousand, five hundred sixty-eight".