23135200 has 108 divisors (see below), whose sum is σ = 62339760. Its totient is φ = 8377600.

The previous prime is 23135197. The next prime is 23135251. The reversal of 23135200 is 253132.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 96681 + ... + 96919.

It is an arithmetic number, because the mean of its divisors is an integer number (577220).

Almost surely, 2^23135200 is an apocalyptic number.

23135200 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 23135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31169880).

23135200 is an abundant number, since it is smaller than the sum of its proper divisors (39204560).

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

23135200 is a wasteful number, since it uses less digits than its factorization.

23135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 23135200 is about 4809.9064439966. The cubic root of 23135200 is about 284.9428427493.

Adding to 23135200 its reverse (253132), we get a palindrome (23388332).

The spelling of 23135200 in words is "twenty-three million, one hundred thirty-five thousand, two hundred".