220141800 has 240 divisors, whose sum is σ = 777807360. Its totient is φ = 57697920.

The previous prime is 220141781. The next prime is 220141829. The reversal of 220141800 is 8141022.

220141800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1733337 + ... + 1733463.

It is an arithmetic number, because the mean of its divisors is an integer number (3240864).

Almost surely, 2^220141800 is an apocalyptic number.

220141800 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 220141800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388903680).

220141800 is an abundant number, since it is smaller than the sum of its proper divisors (557665560).

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

220141800 is a wasteful number, since it uses less digits than its factorization.

220141800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 220141800 is about 14837.1762812201. The cubic root of 220141800 is about 603.8107457879.

Adding to 220141800 its reverse (8141022), we get a palindrome (228282822).

The spelling of 220141800 in words is "two hundred twenty million, one hundred forty-one thousand, eight hundred".