221250240 has 168 divisors, whose sum is σ = 805952160. Its totient is φ = 55517184.

The previous prime is 221250229. The next prime is 221250241. The reversal of 221250240 is 42052122.

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

It is not an unprimeable number, because it can be changed into a prime (221250241) 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, 46701 + ... + 51219.

Almost surely, 2^221250240 is an apocalyptic number.

221250240 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 221250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402976080).

221250240 is an abundant number, since it is smaller than the sum of its proper divisors (584701920).

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

221250240 is a wasteful number, since it uses less digits than its factorization.

221250240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4559 (or 4546 counting only the distinct ones).

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

The square root of 221250240 is about 14874.4828481531. The cubic root of 221250240 is about 604.8224691409.

The spelling of 221250240 in words is "two hundred twenty-one million, two hundred fifty thousand, two hundred forty".