233241000 has 64 divisors (see below), whose sum is σ = 727721280. Its totient is φ = 62196800.

The previous prime is 233240989. The next prime is 233241011. The reversal of 233241000 is 142332.

It is an interprime number because it is at equal distance from previous prime (233240989) and next prime (233241011).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35874 + ... + 41873.

It is an arithmetic number, because the mean of its divisors is an integer number (11370645).

Almost surely, 2^233241000 is an apocalyptic number.

233241000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233241000 is an abundant number, since it is smaller than the sum of its proper divisors (494480280).

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

233241000 is a wasteful number, since it uses less digits than its factorization.

233241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77771 (or 77757 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 233241000 is about 15272.2296996869. The cubic root of 233241000 is about 615.5570338187.

Adding to 233241000 its reverse (142332), we get a palindrome (233383332).

The spelling of 233241000 in words is "two hundred thirty-three million, two hundred forty-one thousand".