221002300 has 72 divisors (see below), whose sum is σ = 517310640. Its totient is φ = 81676800.

The previous prime is 221002291. The next prime is 221002307. The reversal of 221002300 is 3200122.

221002300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221002307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76482 + ... + 79318.

It is an arithmetic number, because the mean of its divisors is an integer number (7184870).

Almost surely, 2^221002300 is an apocalyptic number.

221002300 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 221002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258655320).

221002300 is an abundant number, since it is smaller than the sum of its proper divisors (296308340).

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

221002300 is a wasteful number, since it uses less digits than its factorization.

221002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 221002300 is about 14866.1461044885. The cubic root of 221002300 is about 604.5964569801.

Adding to 221002300 its reverse (3200122), we get a palindrome (224202422).

The spelling of 221002300 in words is "two hundred twenty-one million, two thousand, three hundred".