233688220 has 48 divisors (see below), whose sum is σ = 519996960. Its totient is φ = 87969024.

The previous prime is 233688179. The next prime is 233688271. The reversal of 233688220 is 22886332.

It is a super-2 number, since 2×233688220² = 109220368333536800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57702 + ... + 61618.

It is an arithmetic number, because the mean of its divisors is an integer number (10833270).

Almost surely, 2^233688220 is an apocalyptic number.

233688220 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 233688220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259998480).

233688220 is an abundant number, since it is smaller than the sum of its proper divisors (286308740).

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

233688220 is a wasteful number, since it uses less digits than its factorization.

233688220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102 (or 4100 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 233688220 is about 15286.8642958587. The cubic root of 233688220 is about 615.9502089119.

The spelling of 233688220 in words is "two hundred thirty-three million, six hundred eighty-eight thousand, two hundred twenty".