233000420 has 48 divisors (see below), whose sum is σ = 520141440. Its totient is φ = 87422976.

The previous prime is 233000393. The next prime is 233000429. The reversal of 233000420 is 24000332.

It is a junction number, because it is equal to n+sod(n) for n = 233000395 and 233000404.

It is not an unprimeable number, because it can be changed into a prime (233000429) 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, 36164 + ... + 42116.

It is an arithmetic number, because the mean of its divisors is an integer number (10836280).

Almost surely, 2^233000420 is an apocalyptic number.

233000420 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 233000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260070720).

233000420 is an abundant number, since it is smaller than the sum of its proper divisors (287141020).

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

233000420 is a wasteful number, since it uses less digits than its factorization.

233000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6084 (or 6082 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 233000420 is about 15264.3512800250. The cubic root of 233000420 is about 615.3453191013.

Adding to 233000420 its reverse (24000332), we get a palindrome (257000752).

The spelling of 233000420 in words is "two hundred thirty-three million, four hundred twenty", and thus it is an aban number.