221434360 has 128 divisors (see below), whose sum is σ = 606528000. Its totient is φ = 71069184.

The previous prime is 221434351. The next prime is 221434361. The reversal of 221434360 is 63434122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221434361) 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, 569046 + ... + 569434.

It is an arithmetic number, because the mean of its divisors is an integer number (4738500).

Almost surely, 2^221434360 is an apocalyptic number.

221434360 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 221434360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303264000).

221434360 is an abundant number, since it is smaller than the sum of its proper divisors (385093640).

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

221434360 is a wasteful number, since it uses less digits than its factorization.

221434360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 221434360 is about 14880.6706838099. The cubic root of 221434360 is about 604.9901963213.

Adding to 221434360 its reverse (63434122), we get a palindrome (284868482).

The spelling of 221434360 in words is "two hundred twenty-one million, four hundred thirty-four thousand, three hundred sixty".