5229200 has 60 divisors (see below), whose sum is σ = 13319460. Its totient is φ = 1966080.

The previous prime is 5229157. The next prime is 5229223. The reversal of 5229200 is 29225.

It can be written as a sum of positive squares in 6 ways, for example, as 12544 + 5216656 = 112^2 + 2284^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 6416 + ... + 7184.

It is an arithmetic number, because the mean of its divisors is an integer number (221991).

Almost surely, 2^5229200 is an apocalyptic number.

5229200 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 5229200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6659730).

5229200 is an abundant number, since it is smaller than the sum of its proper divisors (8090260).

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

5229200 is a wasteful number, since it uses less digits than its factorization.

5229200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 5229200 is about 2286.7444107289. The cubic root of 5229200 is about 173.5715003439.

The spelling of 5229200 in words is "five million, two hundred twenty-nine thousand, two hundred".