221132430 has 192 divisors, whose sum is σ = 649591488. Its totient is φ = 53913600.

The previous prime is 221132423. The next prime is 221132437. The reversal of 221132430 is 34231122.

221132430 is a `hidden beast` number, since 221 + 13 + 2 + 430 = 666.

It is an interprime number because it is at equal distance from previous prime (221132423) and next prime (221132437).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221132437) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2189380 + ... + 2189480.

It is an arithmetic number, because the mean of its divisors is an integer number (3383289).

Almost surely, 2^221132430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221132430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324795744).

221132430 is an abundant number, since it is smaller than the sum of its proper divisors (428459058).

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

221132430 is a wasteful number, since it uses less digits than its factorization.

221132430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 221132430 is about 14870.5221831649. The cubic root of 221132430 is about 604.7150993352.

Adding to 221132430 its reverse (34231122), we get a palindrome (255363552).

It can be divided in two parts, 221 and 132430, that added together give a cube (132651 = 51³).

The spelling of 221132430 in words is "two hundred twenty-one million, one hundred thirty-two thousand, four hundred thirty".