221104000 has 128 divisors (see below), whose sum is σ = 592562880. Its totient is φ = 81561600.

The previous prime is 221103983. The next prime is 221104019. The reversal of 221104000 is 401122.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207469 + ... + 208531.

Almost surely, 2^221104000 is an apocalyptic number.

221104000 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 221104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296281440).

221104000 is an abundant number, since it is smaller than the sum of its proper divisors (371458880).

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

221104000 is a wasteful number, since it uses less digits than its factorization.

221104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 221104000 is about 14869.5662344266. The cubic root of 221104000 is about 604.6891830595.

Adding to 221104000 its reverse (401122), we get a palindrome (221505122).

The spelling of 221104000 in words is "two hundred twenty-one million, one hundred four thousand".