224004400 has 60 divisors (see below), whose sum is σ = 543495472. Its totient is φ = 88715520.

The previous prime is 224004377. The next prime is 224004409. The reversal of 224004400 is 4400422.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (224004409) by changing a digit.

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, 38482 + ... + 43918.

Almost surely, 2^224004400 is an apocalyptic number.

224004400 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 224004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271747736).

224004400 is an abundant number, since it is smaller than the sum of its proper divisors (319491072).

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

224004400 is a wasteful number, since it uses less digits than its factorization.

224004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5558 (or 5547 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 224004400 is about 14966.7765400570. The cubic root of 224004400 is about 607.3217708347.

Adding to 224004400 its reverse (4400422), we get a palindrome (228404822).

The spelling of 224004400 in words is "two hundred twenty-four million, four thousand, four hundred".