224325200 has 120 divisors (see below), whose sum is σ = 622728000. Its totient is φ = 76748800.

The previous prime is 224325197. The next prime is 224325221. The reversal of 224325200 is 2523422.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73301 + ... + 76299.

It is an arithmetic number, because the mean of its divisors is an integer number (5189400).

Almost surely, 2^224325200 is an apocalyptic number.

224325200 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 224325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311364000).

224325200 is an abundant number, since it is smaller than the sum of its proper divisors (398402800).

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

224325200 is a wasteful number, since it uses less digits than its factorization.

224325200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 224325200 is about 14977.4897763277. The cubic root of 224325200 is about 607.6115506965.

Adding to 224325200 its reverse (2523422), we get a palindrome (226848622).

The spelling of 224325200 in words is "two hundred twenty-four million, three hundred twenty-five thousand, two hundred".