221301240 has 128 divisors (see below), whose sum is σ = 711970560. Its totient is φ = 54831104.

The previous prime is 221301209. The next prime is 221301251. The reversal of 221301240 is 42103122.

221301240 is digitally balanced in base 2, 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 (15).

It is a congruent number.

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, 168667 + ... + 169973.

It is an arithmetic number, because the mean of its divisors is an integer number (5562270).

Almost surely, 2^221301240 is an apocalyptic number.

221301240 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 221301240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355985280).

221301240 is an abundant number, since it is smaller than the sum of its proper divisors (490669320).

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

221301240 is a wasteful number, since it uses less digits than its factorization.

221301240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 221301240 is about 14876.1970946879. The cubic root of 221301240 is about 604.8689377551.

Adding to 221301240 its reverse (42103122), we get a palindrome (263404362).

The spelling of 221301240 in words is "two hundred twenty-one million, three hundred one thousand, two hundred forty".