233220420 has 72 divisors (see below), whose sum is σ = 711134424. Its totient is φ = 61867008.

The previous prime is 233220419. The next prime is 233220431. The reversal of 233220420 is 24022332.

233220420 is a `hidden beast` number, since 23 + 3 + 220 + 420 = 666.

233220420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 162256644 + 70963776 = 12738^2 + 8424^2 .

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 = 233220393 and 233220402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32172 + ... + 38748.

It is an arithmetic number, because the mean of its divisors is an integer number (9876867).

Almost surely, 2^233220420 is an apocalyptic number.

233220420 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 233220420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355567212).

233220420 is an abundant number, since it is smaller than the sum of its proper divisors (477914004).

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

233220420 is a wasteful number, since it uses less digits than its factorization.

233220420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6789 (or 6784 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 233220420 is about 15271.5559128728. Note that the first 3 decimals coincide. The cubic root of 233220420 is about 615.5389287452.

Adding to 233220420 its reverse (24022332), we get a palindrome (257242752).

The spelling of 233220420 in words is "two hundred thirty-three million, two hundred twenty thousand, four hundred twenty".