233424100 has 144 divisors (see below), whose sum is σ = 631709568. Its totient is φ = 72898560.

The previous prime is 233424091. The next prime is 233424109. The reversal of 233424100 is 1424332.

It is an interprime number because it is at equal distance from previous prime (233424091) and next prime (233424109).

It is not an unprimeable number, because it can be changed into a prime (233424109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1028187 + ... + 1028413.

It is an arithmetic number, because the mean of its divisors is an integer number (4386872).

Almost surely, 2^233424100 is an apocalyptic number.

233424100 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 233424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315854784).

233424100 is an abundant number, since it is smaller than the sum of its proper divisors (398285468).

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

233424100 is a wasteful number, since it uses less digits than its factorization.

233424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 233424100 is about 15278.2230642179. The cubic root of 233424100 is about 615.7180675603.

Adding to 233424100 its reverse (1424332), we get a palindrome (234848432).

The spelling of 233424100 in words is "two hundred thirty-three million, four hundred twenty-four thousand, one hundred".