23033000 has 64 divisors (see below), whose sum is σ = 55710720. Its totient is φ = 8904000.

The previous prime is 23032991. The next prime is 23033027. The reversal of 23033000 is 33032.

23033000 = T₃₀₁ + T₃₀₂ + ... + T₅₄₈.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30629 + ... + 31371.

It is an arithmetic number, because the mean of its divisors is an integer number (870480).

Almost surely, 2^23033000 is an apocalyptic number.

23033000 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 23033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27855360).

23033000 is an abundant number, since it is smaller than the sum of its proper divisors (32677720).

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

23033000 is a wasteful number, since it uses less digits than its factorization.

23033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 11.

The square root of 23033000 is about 4799.2707779412. The cubic root of 23033000 is about 284.5226440177.

Adding to 23033000 its reverse (33032), we get a palindrome (23066032).

The spelling of 23033000 in words is "twenty-three million, thirty-three thousand".