224442200 has 96 divisors (see below), whose sum is σ = 541840320. Its totient is φ = 86400000.

The previous prime is 224442199. The next prime is 224442203. The reversal of 224442200 is 2244422.

224442200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×224442200² = 100748602281680000, which contains 22 as substring.

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

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224442203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 828065 + ... + 828335.

It is an arithmetic number, because the mean of its divisors is an integer number (5644170).

Almost surely, 2^224442200 is an apocalyptic number.

224442200 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 224442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270920160).

224442200 is an abundant number, since it is smaller than the sum of its proper divisors (317398120).

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

224442200 is a wasteful number, since it uses less digits than its factorization.

224442200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 224442200 is about 14981.3951286254. The cubic root of 224442200 is about 607.7171684865.

Adding to 224442200 its reverse (2244422), we get a palindrome (226686622).

Multiplying 224442200 by its reverse (2244422), we get a square (503743011408400 = 22444220²).

224442200 divided by its reverse (2244422) gives a square (100 = 10²).

It can be divided in two parts, 2244 and 42200, that added together give a palindrome (44444).

The spelling of 224442200 in words is "two hundred twenty-four million, four hundred forty-two thousand, two hundred".