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235085568 = 283378273
BaseRepresentation
bin11100000001100…
…01111100000000
3121101100120202220
432000301330000
5440140214233
635154411040
75553123444
oct1600617400
9541316686
10235085568
111107772a3
1266890a80
133991ccb3
1423316824
1515989eb3
hexe031f00

235085568 has 72 divisors (see below), whose sum is σ = 642658128. Its totient is φ = 76234752.

The previous prime is 235085563. The next prime is 235085569. The reversal of 235085568 is 865580532.

235085568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235085563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24280 + ... + 32552.

Almost surely, 2235085568 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 235085568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321329064).

235085568 is an abundant number, since it is smaller than the sum of its proper divisors (407572560).

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

235085568 is an equidigital number, since it uses as much as digits as its factorization.

235085568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8329 (or 8315 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 235085568 is about 15332.5003831730. The cubic root of 235085568 is about 617.1754695680.

The spelling of 235085568 in words is "two hundred thirty-five million, eighty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 592 768 888 1184 1776 2368 3552 4736 7104 8273 9472 14208 16546 24819 28416 33092 49638 66184 99276 132368 198552 264736 306101 397104 529472 612202 794208 918303 1058944 1224404 1588416 1836606 2117888 2448808 3176832 3673212 4897616 6353664 7346424 9795232 14692848 19590464 29385696 39180928 58771392 78361856 117542784 235085568