23011200 has 288 divisors, whose sum is σ = 88788960. Its totient is φ = 5652480.

The previous prime is 23011189. The next prime is 23011211. The reversal of 23011200 is 211032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23011189) and next prime (23011211).

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 489577 + ... + 489623.

It is an arithmetic number, because the mean of its divisors is an integer number (308295).

Almost surely, 2^23011200 is an apocalyptic number.

23011200 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 23011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44394480).

23011200 is an abundant number, since it is smaller than the sum of its proper divisors (65777760).

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

23011200 is a wasteful number, since it uses less digits than its factorization.

23011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 23011200 is about 4796.9990619136. Note that the first 3 decimals coincide. The cubic root of 23011200 is about 284.4328518134.

Adding to 23011200 its reverse (211032), we get a palindrome (23222232).

The spelling of 23011200 in words is "twenty-three million, eleven thousand, two hundred".