Search a number
-
+
235014164 = 227112572969
BaseRepresentation
bin11100000001000…
…00100000010100
3121101012221211022
432000200200110
5440130423124
635153100312
75552405330
oct1600404024
9541187738
10235014164
11110728690
1266857698
13398c6648
14232d87c0
1515973c5e
hexe020814

235014164 has 48 divisors (see below), whose sum is σ = 514926720. Its totient is φ = 91176960.

The previous prime is 235014163. The next prime is 235014191. The reversal of 235014164 is 461410532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235014163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77672 + ... + 80640.

It is an arithmetic number, because the mean of its divisors is an integer number (10727640).

Almost surely, 2235014164 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 235014164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257463360).

235014164 is an abundant number, since it is smaller than the sum of its proper divisors (279912556).

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

235014164 is a wasteful number, since it uses less digits than its factorization.

235014164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 235014164 is about 15330.1716885363. The cubic root of 235014164 is about 617.1129770607.

Adding to 235014164 its reverse (461410532), we get a palindrome (696424696).

The spelling of 235014164 in words is "two hundred thirty-five million, fourteen thousand, one hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 257 308 514 1028 1799 2827 2969 3598 5654 5938 7196 11308 11876 19789 20783 32659 39578 41566 65318 79156 83132 130636 228613 457226 763033 914452 1526066 3052132 5341231 8393363 10682462 16786726 21364924 33573452 58753541 117507082 235014164