221430000 has 300 divisors, whose sum is σ = 798575624. Its totient is φ = 52800000.

The previous prime is 221429987. The next prime is 221430007. The reversal of 221430000 is 34122.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221430007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3629970 + ... + 3630030.

Almost surely, 2^221430000 is an apocalyptic number.

221430000 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 221430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399287812).

221430000 is an abundant number, since it is smaller than the sum of its proper divisors (577145624).

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

221430000 is a wasteful number, since it uses less digits than its factorization.

221430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 82 counting only the distinct ones).

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

The square root of 221430000 is about 14880.5241843156. The cubic root of 221430000 is about 604.9862255817.

Adding to 221430000 its reverse (34122), we get a palindrome (221464122).

The spelling of 221430000 in words is "two hundred twenty-one million, four hundred thirty thousand".