55229200 has 180 divisors, whose sum is σ = 154759440. Its totient is φ = 18869760.

The previous prime is 55229189. The next prime is 55229203. The reversal of 55229200 is 292255.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (55229203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1284379 + ... + 1284421.

Almost surely, 2^55229200 is an apocalyptic number.

55229200 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 55229200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77379720).

55229200 is an abundant number, since it is smaller than the sum of its proper divisors (99530240).

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

55229200 is a wasteful number, since it uses less digits than its factorization.

55229200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 55229200 is about 7431.6350825374. The cubic root of 55229200 is about 380.8227786318.

The spelling of 55229200 in words is "fifty-five million, two hundred twenty-nine thousand, two hundred".