224424400 has 30 divisors (see below), whose sum is σ = 539180582. Its totient is φ = 89769600.

The previous prime is 224424383. The next prime is 224424401. The reversal of 224424400 is 4424422.

It can be written as a sum of positive squares in 3 ways, for example, as 27751824 + 196672576 = 5268^2 + 14024^2 .

It is a super-2 number, since 2×224424400² = 100732622630720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224424401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 280131 + ... + 280930.

Almost surely, 2^224424400 is an apocalyptic number.

224424400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224424400 is an abundant number, since it is smaller than the sum of its proper divisors (314756182).

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

224424400 is a wasteful number, since it uses less digits than its factorization.

224424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561079 (or 561068 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 224424400 is about 14980.8010466730. The cubic root of 224424400 is about 607.7011025067.

Adding to 224424400 its sum of digits (22), we get a palindrome (224424422).

Adding to 224424400 its reverse (4424422), we get a palindrome (228848822).

The spelling of 224424400 in words is "two hundred twenty-four million, four hundred twenty-four thousand, four hundred".