221054400 has 672 divisors, whose sum is σ = 997793280. Its totient is φ = 46448640.

The previous prime is 221054371. The next prime is 221054401. The reversal of 221054400 is 4450122.

221054400 is a `hidden beast` number, since 2 + 210 + 54 + 400 = 666.

221054400 is digitally balanced in base 3, 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 (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221054401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5140779 + ... + 5140821.

Almost surely, 2^221054400 is an apocalyptic number.

221054400 is a gapful number since it is divisible by the number (20) 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 221054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498896640).

221054400 is an abundant number, since it is smaller than the sum of its proper divisors (776738880).

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

221054400 is a wasteful number, since it uses less digits than its factorization.

221054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 77 counting only the distinct ones).

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

The square root of 221054400 is about 14867.8983047370. The cubic root of 221054400 is about 604.6439632738.

The spelling of 221054400 in words is "two hundred twenty-one million, fifty-four thousand, four hundred".