233430500 has 48 divisors (see below), whose sum is σ = 515175024. Its totient is φ = 92390400.

The previous prime is 233430481. The next prime is 233430503. The reversal of 233430500 is 5034332.

It can be written as a sum of positive squares in 8 ways, for example, as 53816896 + 179613604 = 7336^2 + 13402^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (233430503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46094 + ... + 50906.

It is an arithmetic number, because the mean of its divisors is an integer number (10732813).

Almost surely, 2^233430500 is an apocalyptic number.

233430500 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 233430500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257587512).

233430500 is an abundant number, since it is smaller than the sum of its proper divisors (281744524).

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

233430500 is a wasteful number, since it uses less digits than its factorization.

233430500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4929 (or 4917 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 233430500 is about 15278.4325112231. The cubic root of 233430500 is about 615.7236947422.

Adding to 233430500 its reverse (5034332), we get a palindrome (238464832).

The spelling of 233430500 in words is "two hundred thirty-three million, four hundred thirty thousand, five hundred".