233000064 has 224 divisors, whose sum is σ = 762564240. Its totient is φ = 70295040.

The previous prime is 233000041. The next prime is 233000077. The reversal of 233000064 is 460000332.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1026319 + ... + 1026545.

Almost surely, 2^233000064 is an apocalyptic number.

233000064 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 233000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381282120).

233000064 is an abundant number, since it is smaller than the sum of its proper divisors (529564176).

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

233000064 is an equidigital number, since it uses as much as digits as its factorization.

233000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 233000064 is about 15264.3396188633. The cubic root of 233000064 is about 615.3450057070.

Adding to 233000064 its reverse (460000332), we get a palindrome (693000396).

The spelling of 233000064 in words is "two hundred thirty-three million, sixty-four", and thus it is an aban number.