55224000 has 336 divisors, whose sum is σ = 216347040. Its totient is φ = 13363200.

The previous prime is 55223999. The next prime is 55224011. The reversal of 55224000 is 42255.

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

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 47 ways as a sum of consecutive naturals, for example, 935971 + ... + 936029.

It is an arithmetic number, because the mean of its divisors is an integer number (643890).

Almost surely, 2^55224000 is an apocalyptic number.

55224000 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 55224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108173520).

55224000 is an abundant number, since it is smaller than the sum of its proper divisors (161123040).

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

55224000 is a wasteful number, since it uses less digits than its factorization.

55224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 55224000 is about 7431.2852185877. The cubic root of 55224000 is about 380.8108263758.

Adding to 55224000 its reverse (42255), we get a palindrome (55266255).

The spelling of 55224000 in words is "fifty-five million, two hundred twenty-four thousand".