23150400 has 336 divisors, whose sum is σ = 95243904. Its totient is φ = 4792320.

The previous prime is 23150399. The next prime is 23150411. The reversal of 23150400 is 405132.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23150400.

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 47 ways as a sum of consecutive naturals, for example, 436774 + ... + 436826.

It is an arithmetic number, because the mean of its divisors is an integer number (283464).

Almost surely, 2^23150400 is an apocalyptic number.

23150400 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 23150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47621952).

23150400 is an abundant number, since it is smaller than the sum of its proper divisors (72093504).

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

23150400 is a wasteful number, since it uses less digits than its factorization.

23150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 23150400 is about 4811.4862568649. The cubic root of 23150400 is about 285.0052322831.

Adding to 23150400 its reverse (405132), we get a palindrome (23555532).

The spelling of 23150400 in words is "twenty-three million, one hundred fifty thousand, four hundred".