Search a number
-
+
235112904 = 2332132391051
BaseRepresentation
bin11100000001110…
…00100111001000
3121101101222021100
432000320213020
5440142103104
635155141400
75553266235
oct1600704710
9541358240
10235112904
11110795894
12668a4860
133992c580
142332278c
1515993139
hexe0389c8

235112904 has 96 divisors (see below), whose sum is σ = 689270400. Its totient is φ = 71971200.

The previous prime is 235112903. The next prime is 235112921. The reversal of 235112904 is 409211532.

It is not an unprimeable number, because it can be changed into a prime (235112903) 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 23 ways as a sum of consecutive naturals, for example, 223179 + ... + 224229.

It is an arithmetic number, because the mean of its divisors is an integer number (7179900).

Almost surely, 2235112904 is an apocalyptic number.

235112904 is a gapful number since it is divisible by the number (24) 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 235112904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344635200).

235112904 is an abundant number, since it is smaller than the sum of its proper divisors (454157496).

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

235112904 is a wasteful number, since it uses less digits than its factorization.

235112904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 235112904 is about 15333.3917969900. The cubic root of 235112904 is about 617.1993905809.

The spelling of 235112904 in words is "two hundred thirty-five million, one hundred twelve thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 239 312 468 478 717 936 956 1051 1434 1912 2102 2151 2868 3107 3153 4204 4302 5736 6214 6306 8408 8604 9321 9459 12428 12612 13663 17208 18642 18918 24856 25224 27326 27963 37284 37836 40989 54652 55926 74568 75672 81978 109304 111852 122967 163956 223704 245934 251189 327912 491868 502378 753567 983736 1004756 1507134 2009512 2260701 3014268 3265457 4521402 6028536 6530914 9042804 9796371 13061828 18085608 19592742 26123656 29389113 39185484 58778226 78370968 117556452 235112904