221052240 has 240 divisors, whose sum is σ = 784824768. Its totient is φ = 57811968.

The previous prime is 221052217. The next prime is 221052253. The reversal of 221052240 is 42250122.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1613452 + ... + 1613588.

Almost surely, 2^221052240 is an apocalyptic number.

221052240 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 221052240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392412384).

221052240 is an abundant number, since it is smaller than the sum of its proper divisors (563772528).

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

221052240 is a wasteful number, since it uses less digits than its factorization.

221052240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 221052240 is about 14867.8256648375. The cubic root of 221052240 is about 604.6419938713.

The spelling of 221052240 in words is "two hundred twenty-one million, fifty-two thousand, two hundred forty".