54224100 has 288 divisors, whose sum is σ = 211097600. Its totient is φ = 11664000.

The previous prime is 54224083. The next prime is 54224111. The reversal of 54224100 is 142245.

54224100 is a `hidden beast` number, since 542 + 24 + 100 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 359025 + ... + 359175.

Almost surely, 2^54224100 is an apocalyptic number.

54224100 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 54224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105548800).

54224100 is an abundant number, since it is smaller than the sum of its proper divisors (156873500).

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

54224100 is a wasteful number, since it uses less digits than its factorization.

54224100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 54224100 is about 7363.7015148633. The cubic root of 54224100 is about 378.4984605675.

Adding to 54224100 its reverse (142245), we get a palindrome (54366345).

It can be divided in two parts, 542 and 24100, that added together give a palindrome (24642).

The spelling of 54224100 in words is "fifty-four million, two hundred twenty-four thousand, one hundred".