221054240 has 192 divisors, whose sum is σ = 607461120. Its totient is φ = 75264000.

The previous prime is 221054237. The next prime is 221054261. The reversal of 221054240 is 42450122.

It is a happy number.

221054240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 3113405 + ... + 3113475.

It is an arithmetic number, because the mean of its divisors is an integer number (3163860).

Almost surely, 2^221054240 is an apocalyptic number.

221054240 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 221054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303730560).

221054240 is an abundant number, since it is smaller than the sum of its proper divisors (386406880).

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

221054240 is a wasteful number, since it uses less digits than its factorization.

221054240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 221054240 is about 14867.8929240158. The cubic root of 221054240 is about 604.6438173925.

The spelling of 221054240 in words is "two hundred twenty-one million, fifty-four thousand, two hundred forty".