221013300 has 72 divisors (see below), whose sum is σ = 641583936. Its totient is φ = 58741760.

The previous prime is 221013283. The next prime is 221013319. The reversal of 221013300 is 3310122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 104857 + ... + 106943.

It is an arithmetic number, because the mean of its divisors is an integer number (8910888).

Almost surely, 2^221013300 is an apocalyptic number.

221013300 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 221013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320791968).

221013300 is an abundant number, since it is smaller than the sum of its proper divisors (420570636).

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

221013300 is a wasteful number, since it uses less digits than its factorization.

221013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 221013300 is about 14866.5160679966. The cubic root of 221013300 is about 604.6064877214.

Adding to 221013300 its reverse (3310122), we get a palindrome (224323422).

The spelling of 221013300 in words is "two hundred twenty-one million, thirteen thousand, three hundred".