54224000 has 64 divisors (see below), whose sum is σ = 134854200. Its totient is φ = 21683200.

The previous prime is 54223987. The next prime is 54224021. The reversal of 54224000 is 42245.

It can be written as a sum of positive squares in 4 ways, for example, as 32171584 + 22052416 = 5672^2 + 4696^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 54224000.

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 7 ways as a sum of consecutive naturals, for example, 14306 + ... + 17694.

Almost surely, 2^54224000 is an apocalyptic number.

54224000 is a gapful number since it is divisible by the number (50) 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 54224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67427100).

54224000 is an abundant number, since it is smaller than the sum of its proper divisors (80630200).

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

54224000 is an equidigital number, since it uses as much as digits as its factorization.

54224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 54224000 is about 7363.6947247968. The cubic root of 54224000 is about 378.4982278919.

Adding to 54224000 its reverse (42245), we get a palindrome (54266245).

It can be divided in two parts, 542 and 24000, that added together give a palindrome (24542).

The spelling of 54224000 in words is "fifty-four million, two hundred twenty-four thousand".