235133000 has 64 divisors (see below), whose sum is σ = 557921520. Its totient is φ = 92736000.

The previous prime is 235132969. The next prime is 235133021. The reversal of 235133000 is 331532.

It can be written as a sum of positive squares in 8 ways, for example, as 28751044 + 206381956 = 5362^2 + 14366^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 235133000.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 71390 + ... + 74610.

Almost surely, 2^235133000 is an apocalyptic number.

235133000 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 235133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278960760).

235133000 is an abundant number, since it is smaller than the sum of its proper divisors (322788520).

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

235133000 is a wasteful number, since it uses less digits than its factorization.

235133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3315 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 235133000 is about 15334.0470848371. The cubic root of 235133000 is about 617.2169748782.

Adding to 235133000 its reverse (331532), we get a palindrome (235464532).

The spelling of 235133000 in words is "two hundred thirty-five million, one hundred thirty-three thousand".