233183664 has 160 divisors (see below), whose sum is σ = 791616000. Its totient is φ = 64302336.

The previous prime is 233183641. The next prime is 233183669. The reversal of 233183664 is 466381332.

233183664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233183669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86367 + ... + 89025.

It is an arithmetic number, because the mean of its divisors is an integer number (4947600).

Almost surely, 2^233183664 is an apocalyptic number.

233183664 is a gapful number since it is divisible by the number (24) 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 233183664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395808000).

233183664 is an abundant number, since it is smaller than the sum of its proper divisors (558432336).

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

233183664 is a wasteful number, since it uses less digits than its factorization.

233183664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712 (or 2700 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 233183664 is about 15270.3524517282. The cubic root of 233183664 is about 615.5065903282.

The spelling of 233183664 in words is "two hundred thirty-three million, one hundred eighty-three thousand, six hundred sixty-four".