54208224 has 96 divisors (see below), whose sum is σ = 180714240. Its totient is φ = 15486336.

The previous prime is 54208211. The next prime is 54208229. The reversal of 54208224 is 42280245.

It is a happy number.

54208224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54208229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1567 + ... + 10529.

It is an arithmetic number, because the mean of its divisors is an integer number (1882440).

Almost surely, 2^54208224 is an apocalyptic number.

54208224 is a gapful number since it is divisible by the number (54) 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 54208224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90357120).

54208224 is an abundant number, since it is smaller than the sum of its proper divisors (126506016).

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

54208224 is a wasteful number, since it uses less digits than its factorization.

54208224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8989 (or 8975 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 54208224 is about 7362.6234454846. The cubic root of 54208224 is about 378.4615174118.

Adding to 54208224 its reverse (42280245), we get a palindrome (96488469).

The spelling of 54208224 in words is "fifty-four million, two hundred eight thousand, two hundred twenty-four".