23258000 has 80 divisors (see below), whose sum is σ = 58322160. Its totient is φ = 8960000.

The previous prime is 23257987. The next prime is 23258003. The reversal of 23258000 is 85232.

It can be written as a sum of positive squares in 8 ways, for example, as 1430416 + 21827584 = 1196^2 + 4672^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23258003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57800 + ... + 58200.

It is an arithmetic number, because the mean of its divisors is an integer number (729027).

Almost surely, 2^23258000 is an apocalyptic number.

23258000 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 23258000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29161080).

23258000 is an abundant number, since it is smaller than the sum of its proper divisors (35064160).

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

23258000 is a wasteful number, since it uses less digits than its factorization.

23258000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 23258000 is about 4822.6548705044. The cubic root of 23258000 is about 285.4461054994.

The spelling of 23258000 in words is "twenty-three million, two hundred fifty-eight thousand".