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235432240 = 24517317011
BaseRepresentation
bin11100000100001…
…10100100110000
3121102000012022121
432002012210300
5440232312430
635210044024
75556066241
oct1602064460
9542005277
10235432240
111109937aa
1266a19614
1339a11a24
14233a6cc8
1515a07a7a
hexe086930

235432240 has 40 divisors (see below), whose sum is σ = 550576368. Its totient is φ = 93623040.

The previous prime is 235432231. The next prime is 235432271. The reversal of 235432240 is 42234532.

235432240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5335 + ... + 22345.

Almost surely, 2235432240 is an apocalyptic number.

235432240 is a gapful number since it is divisible by the number (20) 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 235432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275288184).

235432240 is an abundant number, since it is smaller than the sum of its proper divisors (315144128).

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

235432240 is a wasteful number, since it uses less digits than its factorization.

235432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17197 (or 17191 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 235432240 is about 15343.8013542929. The cubic root of 235432240 is about 617.4786958508.

Adding to 235432240 its reverse (42234532), we get a palindrome (277666772).

The spelling of 235432240 in words is "two hundred thirty-five million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 865 1384 1730 2768 3460 6920 13840 17011 34022 68044 85055 136088 170110 272176 340220 680440 1360880 2942903 5885806 11771612 14714515 23543224 29429030 47086448 58858060 117716120 235432240