23151600 has 180 divisors, whose sum is σ = 82453800. Its totient is φ = 6013440.

The previous prime is 23151577. The next prime is 23151629. The reversal of 23151600 is 615132.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 212346 + ... + 212454.

Almost surely, 2^23151600 is an apocalyptic number.

23151600 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 23151600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41226900).

23151600 is an abundant number, since it is smaller than the sum of its proper divisors (59302200).

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

23151600 is a wasteful number, since it uses less digits than its factorization.

23151600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 23151600 is about 4811.6109568418. The cubic root of 23151600 is about 285.0101566094.

Adding to 23151600 its reverse (615132), we get a palindrome (23766732).

The spelling of 23151600 in words is "twenty-three million, one hundred fifty-one thousand, six hundred".