5233200 has 180 divisors, whose sum is σ = 19719720. Its totient is φ = 1182720.

The previous prime is 5233183. The next prime is 5233219. The reversal of 5233200 is 23325.

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 5233200.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58756 + ... + 58844.

It is an arithmetic number, because the mean of its divisors is an integer number (109554).

Almost surely, 2^5233200 is an apocalyptic number.

5233200 is a gapful number since it is divisible by the number (50) 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 5233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9859860).

5233200 is an abundant number, since it is smaller than the sum of its proper divisors (14486520).

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

5233200 is a wasteful number, since it uses less digits than its factorization.

5233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 5233200 is about 2287.6188493715. The cubic root of 5233200 is about 173.6157460570.

Adding to 5233200 its reverse (23325), we get a palindrome (5256525).

The spelling of 5233200 in words is "five million, two hundred thirty-three thousand, two hundred".