233033220 has 144 divisors (see below), whose sum is σ = 843454080. Its totient is φ = 53258688.

The previous prime is 233033219. The next prime is 233033221. The reversal of 233033220 is 22330332.

233033220 is a `hidden beast` number, since 2 + 330 + 332 + 2 + 0 = 666.

233033220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233033219) and next prime (233033221).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 233033193 and 233033202.

It is not an unprimeable number, because it can be changed into a prime (233033221) 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, 22057 + ... + 30863.

It is an arithmetic number, because the mean of its divisors is an integer number (5857320).

Almost surely, 2^233033220 is an apocalyptic number.

233033220 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 233033220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421727040).

233033220 is an abundant number, since it is smaller than the sum of its proper divisors (610420860).

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

233033220 is a wasteful number, since it uses less digits than its factorization.

233033220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8839 (or 8824 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 233033220 is about 15265.4256409705. The cubic root of 233033220 is about 615.3741922674.

Adding to 233033220 its reverse (22330332), we get a palindrome (255363552).

The spelling of 233033220 in words is "two hundred thirty-three million, thirty-three thousand, two hundred twenty".