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235345242 = 231123110457
BaseRepresentation
bin11100000011100…
…01010101011010
3121101211202222110
432001301111122
5440222021432
635204133150
75555254506
oct1601612532
9541752873
10235345242
11110934400
12669971b6
13399b1252
1423383306
15159dbdcc
hexe07155a

235345242 has 48 divisors (see below), whose sum is σ = 534110976. Its totient is φ = 69009600.

The previous prime is 235345219. The next prime is 235345249. The reversal of 235345242 is 242543532.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (235345249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17278 + ... + 27734.

It is an arithmetic number, because the mean of its divisors is an integer number (11127312).

Almost surely, 2235345242 is an apocalyptic number.

235345242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 235345242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267055488).

235345242 is an abundant number, since it is smaller than the sum of its proper divisors (298765734).

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

235345242 is a wasteful number, since it uses less digits than its factorization.

235345242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10515 (or 10504 counting only the distinct ones).

The product of its digits is 28800, while the sum is 30.

The square root of 235345242 is about 15340.9661364596. The cubic root of 235345242 is about 617.4026286282.

Adding to 235345242 its reverse (242543532), we get a palindrome (477888774).

The spelling of 235345242 in words is "two hundred thirty-five million, three hundred forty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 121 186 242 341 363 682 726 1023 2046 3751 7502 10457 11253 20914 22506 31371 62742 115027 230054 324167 345081 648334 690162 972501 1265297 1945002 2530594 3565837 3795891 7131674 7591782 10697511 21395022 39224207 78448414 117672621 235345242