23214400 has 84 divisors (see below), whose sum is σ = 62362080. Its totient is φ = 8435200.

The previous prime is 23214391. The next prime is 23214403. The reversal of 23214400 is 441232.

23214400 = T₇₄₉ + T₇₅₀ + ... + T₈₂₃.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23214403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16941 + ... + 18259.

Almost surely, 2^23214400 is an apocalyptic number.

23214400 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 23214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31181040).

23214400 is an abundant number, since it is smaller than the sum of its proper divisors (39147680).

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

23214400 is a wasteful number, since it uses less digits than its factorization.

23214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 23214400 is about 4818.1324182716. The cubic root of 23214400 is about 285.2676259059.

Adding to 23214400 its reverse (441232), we get a palindrome (23655632).

The spelling of 23214400 in words is "twenty-three million, two hundred fourteen thousand, four hundred".