221056000 has 176 divisors, whose sum is σ = 605453472. Its totient is φ = 79872000.

The previous prime is 221055979. The next prime is 221056007. The reversal of 221056000 is 650122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (221056007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1407922 + ... + 1408078.

Almost surely, 2^221056000 is an apocalyptic number.

221056000 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 221056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302726736).

221056000 is an abundant number, since it is smaller than the sum of its proper divisors (384397472).

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

221056000 is a wasteful number, since it uses less digits than its factorization.

221056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 221056000 is about 14867.9521118411. The cubic root of 221056000 is about 604.6454220821.

The spelling of 221056000 in words is "two hundred twenty-one million, fifty-six thousand".