221430421300 has 144 divisors (see below), whose sum is σ = 584233231680. Its totient is φ = 71794944000.

The previous prime is 221430421271. The next prime is 221430421307. The reversal of 221430421300 is 3124034122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221430421307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43690 + ... + 666910.

It is an arithmetic number, because the mean of its divisors is an integer number (4057175220).

Almost surely, 2^221430421300 is an apocalyptic number.

221430421300 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 221430421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292116615840).

221430421300 is an abundant number, since it is smaller than the sum of its proper divisors (362802810380).

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

221430421300 is a wasteful number, since it uses less digits than its factorization.

221430421300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623282 (or 623275 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 221430421300 its reverse (3124034122), we get a palindrome (224554455422).

The spelling of 221430421300 in words is "two hundred twenty-one billion, four hundred thirty million, four hundred twenty-one thousand, three hundred".