221410320 has 80 divisors (see below), whose sum is σ = 691414080. Its totient is φ = 58609152.

The previous prime is 221410313. The next prime is 221410327. The reversal of 221410320 is 23014122.

It is an interprime number because it is at equal distance from previous prime (221410313) and next prime (221410327).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221410320.

It is not an unprimeable number, because it can be changed into a prime (221410327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30042 + ... + 36678.

It is an arithmetic number, because the mean of its divisors is an integer number (8642676).

Almost surely, 2^221410320 is an apocalyptic number.

221410320 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 221410320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345707040).

221410320 is an abundant number, since it is smaller than the sum of its proper divisors (470003760).

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

221410320 is a wasteful number, since it uses less digits than its factorization.

221410320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6792 (or 6786 counting only the distinct ones).

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

The square root of 221410320 is about 14879.8629025942. The cubic root of 221410320 is about 604.9683019615.

Adding to 221410320 its reverse (23014122), we get a palindrome (244424442).

The spelling of 221410320 in words is "two hundred twenty-one million, four hundred ten thousand, three hundred twenty".