23001300 has 144 divisors (see below), whose sum is σ = 84577920. Its totient is φ = 5253120.

The previous prime is 23001271. The next prime is 23001313. The reversal of 23001300 is 310032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18292 + ... + 19508.

Almost surely, 2^23001300 is an apocalyptic number.

23001300 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 23001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42288960).

23001300 is an abundant number, since it is smaller than the sum of its proper divisors (61576620).

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

23001300 is a wasteful number, since it uses less digits than its factorization.

23001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 23001300 is about 4795.9670557668. The cubic root of 23001300 is about 284.3920558945.

Adding to 23001300 its reverse (310032), we get a palindrome (23311332).

It can be divided in two parts, 2300 and 1300, that added together give a square (3600 = 60²).

The spelling of 23001300 in words is "twenty-three million, one thousand, three hundred".