220141620 has 72 divisors (see below), whose sum is σ = 674430120. Its totient is φ = 58118400.

The previous prime is 220141583. The next prime is 220141631. The reversal of 220141620 is 26141022.

220141620 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 41 + 620 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 151880976 + 68260644 = 12324^2 + 8262^2 .

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 = 220141593 and 220141602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12126 + ... + 24234.

It is an arithmetic number, because the mean of its divisors is an integer number (9367085).

Almost surely, 2^220141620 is an apocalyptic number.

220141620 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 220141620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337215060).

220141620 is an abundant number, since it is smaller than the sum of its proper divisors (454288500).

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

220141620 is a wasteful number, since it uses less digits than its factorization.

220141620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12225 (or 12220 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 220141620 is about 14837.1702153746. The cubic root of 220141620 is about 603.8105812183.

Adding to 220141620 its reverse (26141022), we get a palindrome (246282642).

The spelling of 220141620 in words is "two hundred twenty million, one hundred forty-one thousand, six hundred twenty".