221400300 has 144 divisors (see below), whose sum is σ = 729453312. Its totient is φ = 51321600.

The previous prime is 221400253. The next prime is 221400307. The reversal of 221400300 is 3004122.

221400300 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 (12).

It is not an unprimeable number, because it can be changed into a prime (221400307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74442 + ... + 77358.

It is an arithmetic number, because the mean of its divisors is an integer number (5065648).

Almost surely, 2^221400300 is an apocalyptic number.

221400300 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 221400300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364726656).

221400300 is an abundant number, since it is smaller than the sum of its proper divisors (508053012).

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

221400300 is a wasteful number, since it uses less digits than its factorization.

221400300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2968 (or 2961 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 221400300 is about 14879.5262021343. The cubic root of 221400300 is about 604.9591758078.

Adding to 221400300 its reverse (3004122), we get a palindrome (224404422).

The spelling of 221400300 in words is "two hundred twenty-one million, four hundred thousand, three hundred".