55219200 has 132 divisors (see below), whose sum is σ = 182756160. Its totient is φ = 14704640.

The previous prime is 55219193. The next prime is 55219211. The reversal of 55219200 is 291255.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76441 + ... + 77159.

Almost surely, 2^55219200 is an apocalyptic number.

55219200 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 55219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91378080).

55219200 is an abundant number, since it is smaller than the sum of its proper divisors (127536960).

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

55219200 is a wasteful number, since it uses less digits than its factorization.

55219200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 55219200 is about 7430.9622526292. The cubic root of 55219200 is about 380.7997928582.

The spelling of 55219200 in words is "fifty-five million, two hundred nineteen thousand, two hundred".