221345300 has 72 divisors (see below), whose sum is σ = 528632832. Its totient is φ = 80440800.

The previous prime is 221345297. The next prime is 221345317. The reversal of 221345300 is 3543122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132269 + ... + 133931.

Almost surely, 2^221345300 is an apocalyptic number.

221345300 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 221345300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264316416).

221345300 is an abundant number, since it is smaller than the sum of its proper divisors (307287532).

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

221345300 is a wasteful number, since it uses less digits than its factorization.

221345300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 221345300 is about 14877.6779102117. The cubic root of 221345300 is about 604.9090772454.

Adding to 221345300 its reverse (3543122), we get a palindrome (224888422).

The spelling of 221345300 in words is "two hundred twenty-one million, three hundred forty-five thousand, three hundred".