221441000 has 128 divisors (see below), whose sum is σ = 580245120. Its totient is φ = 78400000.

The previous prime is 221440981. The next prime is 221441053. The reversal of 221441000 is 144122.

221441000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221441000² = 98072232962000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450755 + ... + 451245.

It is an arithmetic number, because the mean of its divisors is an integer number (4533165).

Almost surely, 2^221441000 is an apocalyptic number.

221441000 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 221441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290122560).

221441000 is an abundant number, since it is smaller than the sum of its proper divisors (358804120).

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

221441000 is a wasteful number, since it uses less digits than its factorization.

221441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 221441000 is about 14880.8937903608. The cubic root of 221441000 is about 604.9962434027.

Adding to 221441000 its reverse (144122), we get a palindrome (221585122).

The spelling of 221441000 in words is "two hundred twenty-one million, four hundred forty-one thousand".