221024440 has 128 divisors (see below), whose sum is σ = 627419520. Its totient is φ = 68198400.

The previous prime is 221024431. The next prime is 221024449. The reversal of 221024440 is 44420122.

It is an interprime number because it is at equal distance from previous prime (221024431) and next prime (221024449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221024449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148500 + ... + 149980.

It is an arithmetic number, because the mean of its divisors is an integer number (4901715).

Almost surely, 2^221024440 is an apocalyptic number.

221024440 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 221024440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313709760).

221024440 is an abundant number, since it is smaller than the sum of its proper divisors (406395080).

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

221024440 is a wasteful number, since it uses less digits than its factorization.

221024440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 221024440 is about 14866.8907307480. The cubic root of 221024440 is about 604.6166457875.

Adding to 221024440 its reverse (44420122), we get a palindrome (265444562).

The spelling of 221024440 in words is "two hundred twenty-one million, twenty-four thousand, four hundred forty".