221430024 has 160 divisors (see below), whose sum is σ = 653283840. Its totient is φ = 69984000.

The previous prime is 221430023. The next prime is 221430029. The reversal of 221430024 is 420034122.

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

It is a junction number, because it is equal to n+sod(n) for n = 221429979 and 221430006.

It is not an unprimeable number, because it can be changed into a prime (221430023) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1466349 + ... + 1466499.

It is an arithmetic number, because the mean of its divisors is an integer number (4083024).

Almost surely, 2^221430024 is an apocalyptic number.

221430024 is a gapful number since it is divisible by the number (24) 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 221430024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326641920).

221430024 is an abundant number, since it is smaller than the sum of its proper divisors (431853816).

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

221430024 is a wasteful number, since it uses less digits than its factorization.

221430024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 260 counting only the distinct ones).

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

The square root of 221430024 is about 14880.5249907387. The cubic root of 221430024 is about 604.9862474391.

Adding to 221430024 its reverse (420034122), we get a palindrome (641464146).

The spelling of 221430024 in words is "two hundred twenty-one million, four hundred thirty thousand, twenty-four".