221148000 has 144 divisors (see below), whose sum is σ = 784982016. Its totient is φ = 58963200.

The previous prime is 221147999. The next prime is 221148007. The reversal of 221148000 is 841122.

221148000 is digitally balanced in base 2, 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 (144).

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 (221148007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32929 + ... + 39071.

It is an arithmetic number, because the mean of its divisors is an integer number (5451264).

Almost surely, 2^221148000 is an apocalyptic number.

221148000 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 221148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392491008).

221148000 is an abundant number, since it is smaller than the sum of its proper divisors (563834016).

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

221148000 is a wasteful number, since it uses less digits than its factorization.

221148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6174 (or 6153 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 221148000 is about 14871.0456928893. The cubic root of 221148000 is about 604.7292917253.

Adding to 221148000 its reverse (841122), we get a palindrome (221989122).

The spelling of 221148000 in words is "two hundred twenty-one million, one hundred forty-eight thousand".