221240040 has 128 divisors (see below), whose sum is σ = 803208960. Its totient is φ = 47591424.

The previous prime is 221240039. The next prime is 221240083. The reversal of 221240040 is 40042122.

221240040 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 (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6534 + ... + 22026.

It is an arithmetic number, because the mean of its divisors is an integer number (6275070).

Almost surely, 2^221240040 is an apocalyptic number.

221240040 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 221240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401604480).

221240040 is an abundant number, since it is smaller than the sum of its proper divisors (581968920).

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

221240040 is a wasteful number, since it uses less digits than its factorization.

221240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15531 (or 15527 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 221240040 is about 14874.1399751381. The cubic root of 221240040 is about 604.8131745611.

Adding to 221240040 its reverse (40042122), we get a palindrome (261282162).

The spelling of 221240040 in words is "two hundred twenty-one million, two hundred forty thousand, forty".