233229920 has 144 divisors (see below), whose sum is σ = 692574624. Its totient is φ = 72652800.

The previous prime is 233229889. The next prime is 233229943. The reversal of 233229920 is 29922332.

233229920 = T₂₀₅₅ + T₂₀₅₆ + ... + T₂₁₅₉.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 134660 + ... + 136380.

It is an arithmetic number, because the mean of its divisors is an integer number (4809546).

Almost surely, 2^233229920 is an apocalyptic number.

233229920 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 233229920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346287312).

233229920 is an abundant number, since it is smaller than the sum of its proper divisors (459344704).

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

233229920 is a wasteful number, since it uses less digits than its factorization.

233229920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 233229920 is about 15271.8669454654. The cubic root of 233229920 is about 615.5472864188.

The spelling of 233229920 in words is "two hundred thirty-three million, two hundred twenty-nine thousand, nine hundred twenty".