220141530 has 128 divisors (see below), whose sum is σ = 674956800. Its totient is φ = 50015232.

The previous prime is 220141529. The next prime is 220141531. The reversal of 220141530 is 35141022.

220141530 is a `hidden beast` number, since 220 + 1 + 415 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (220141529) and next prime (220141531).

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

It is not an unprimeable number, because it can be changed into a prime (220141531) 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 63 ways as a sum of consecutive naturals, for example, 508194 + ... + 508626.

It is an arithmetic number, because the mean of its divisors is an integer number (5273100).

Almost surely, 2^220141530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220141530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337478400).

220141530 is an abundant number, since it is smaller than the sum of its proper divisors (454815270).

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

220141530 is a wasteful number, since it uses less digits than its factorization.

220141530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 220141530 is about 14837.1671824510. The cubic root of 220141530 is about 603.8104989334.

Adding to 220141530 its reverse (35141022), we get a palindrome (255282552).

The spelling of 220141530 in words is "two hundred twenty million, one hundred forty-one thousand, five hundred thirty".