23214200 has 96 divisors (see below), whose sum is σ = 58590000. Its totient is φ = 8524800.

The previous prime is 23214173. The next prime is 23214211. The reversal of 23214200 is 241232.

It is a super-3 number, since 3×23214200³ (a number of 23 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 155726 + ... + 155874.

Almost surely, 2^23214200 is an apocalyptic number.

23214200 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 23214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29295000).

23214200 is an abundant number, since it is smaller than the sum of its proper divisors (35375800).

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

23214200 is a wasteful number, since it uses less digits than its factorization.

23214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 23214200 is about 4818.1116632971. Note that the first 3 decimals coincide. The cubic root of 23214200 is about 285.2668066775.

Adding to 23214200 its reverse (241232), we get a palindrome (23455432).

The spelling of 23214200 in words is "twenty-three million, two hundred fourteen thousand, two hundred".