23008500 has 72 divisors (see below), whose sum is σ = 72598344. Its totient is φ = 6134400.

The previous prime is 23008409. The next prime is 23008549. The reversal of 23008500 is 580032.

It can be written as a sum of positive squares in 4 ways, for example, as 6411024 + 16597476 = 2532^2 + 4074^2 .

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

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, 1944 + ... + 7056.

Almost surely, 2^23008500 is an apocalyptic number.

23008500 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 23008500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36299172).

23008500 is an abundant number, since it is smaller than the sum of its proper divisors (49589844).

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

23008500 is a wasteful number, since it uses less digits than its factorization.

23008500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5138 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 23008500 is about 4796.7176277117. The cubic root of 23008500 is about 284.4217268143.

Adding to 23008500 its reverse (580032), we get a palindrome (23588532).

The spelling of 23008500 in words is "twenty-three million, eight thousand, five hundred".