221420430 has 192 divisors, whose sum is σ = 727833600. Its totient is φ = 45365760.

The previous prime is 221420417. The next prime is 221420443. The reversal of 221420430 is 34024122.

221420430 is a `hidden beast` number, since 2 + 214 + 20 + 430 = 666.

It is an interprime number because it is at equal distance from previous prime (221420417) and next prime (221420443).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 616591 + ... + 616949.

It is an arithmetic number, because the mean of its divisors is an integer number (3790800).

Almost surely, 2^221420430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221420430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363916800).

221420430 is an abundant number, since it is smaller than the sum of its proper divisors (506413170).

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

221420430 is a wasteful number, since it uses less digits than its factorization.

221420430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 221420430 is about 14880.2026195882. The cubic root of 221420430 is about 604.9775098076.

Adding to 221420430 its reverse (34024122), we get a palindrome (255444552).

The spelling of 221420430 in words is "two hundred twenty-one million, four hundred twenty thousand, four hundred thirty".