224040000 has 140 divisors (see below), whose sum is σ = 741125264. Its totient is φ = 59712000.

The previous prime is 224039989. The next prime is 224040013. The reversal of 224040000 is 40422.

224040000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 119067 + ... + 120933.

Almost surely, 2^224040000 is an apocalyptic number.

224040000 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 224040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370562632).

224040000 is an abundant number, since it is smaller than the sum of its proper divisors (517085264).

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

224040000 is an equidigital number, since it uses as much as digits as its factorization.

224040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 224040000 is about 14967.9657936541. The cubic root of 224040000 is about 607.3539420923.

Adding to 224040000 its reverse (40422), we get a palindrome (224080422).

The spelling of 224040000 in words is "two hundred twenty-four million, forty thousand".