224042400 has 324 divisors, whose sum is σ = 840325122. Its totient is φ = 56125440.

The previous prime is 224042389. The next prime is 224042431. The reversal of 224042400 is 4240422.

224042400 is a `hidden beast` number, since 2 + 240 + 424 + 0 + 0 = 666.

224042400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 52012944 + 172029456 = 7212^2 + 13116^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6055182 + ... + 6055218.

Almost surely, 2^224042400 is an apocalyptic number.

224042400 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 224042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420162561).

224042400 is an abundant number, since it is smaller than the sum of its proper divisors (616282722).

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

224042400 is a wasteful number, since it uses less digits than its factorization.

224042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 224042400 is about 14968.0459646542. The cubic root of 224042400 is about 607.3561108185.

Adding to 224042400 its reverse (4240422), we get a palindrome (228282822).

The spelling of 224042400 in words is "two hundred twenty-four million, forty-two thousand, four hundred".