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235040000 = 285413113
BaseRepresentation
bin11100000001001…
…10110100000000
3121101021021021012
432000212310000
5440132240000
635153420052
75552543546
oct1600466400
9541237235
10235040000
11110746038
126686a628
1339905330
1423303d96
151597b735
hexe026d00

235040000 has 180 divisors, whose sum is σ = 636949236. Its totient is φ = 86016000.

The previous prime is 235039999. The next prime is 235040017. The reversal of 235040000 is 40532.

It can be written as a sum of positive squares in 10 ways, for example, as 234947584 + 92416 = 15328^2 + 304^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2079944 + ... + 2080056.

Almost surely, 2235040000 is an apocalyptic number.

235040000 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 235040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318474618).

235040000 is an abundant number, since it is smaller than the sum of its proper divisors (401909236).

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

235040000 is an equidigital number, since it uses as much as digits as its factorization.

235040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 235040000 is about 15331.0143173894. The cubic root of 235040000 is about 617.1355900901.

Adding to 235040000 its reverse (40532), we get a palindrome (235080532).

The spelling of 235040000 in words is "two hundred thirty-five million, forty thousand".