221322300 has 72 divisors (see below), whose sum is σ = 642677616. Its totient is φ = 58805760.

The previous prime is 221322293. The next prime is 221322301. The reversal of 221322300 is 3223122.

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 221322300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221322301) by changing a digit.

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, 92722 + ... + 95078.

It is an arithmetic number, because the mean of its divisors is an integer number (8926078).

Almost surely, 2^221322300 is an apocalyptic number.

221322300 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 221322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321338808).

221322300 is an abundant number, since it is smaller than the sum of its proper divisors (421355316).

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

221322300 is a wasteful number, since it uses less digits than its factorization.

221322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 221322300 is about 14876.9049200430. The cubic root of 221322300 is about 604.8881244766. Note that the first 3 decimals are identical.

Adding to 221322300 its reverse (3223122), we get a palindrome (224545422).

The spelling of 221322300 in words is "two hundred twenty-one million, three hundred twenty-two thousand, three hundred".