220134180 has 96 divisors (see below), whose sum is σ = 710148096. Its totient is φ = 49908096.

The previous prime is 220134179. The next prime is 220134181. The reversal of 220134180 is 81431022.

It is an interprime number because it is at equal distance from previous prime (220134179) and next prime (220134181).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (220134181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51277 + ... + 55403.

It is an arithmetic number, because the mean of its divisors is an integer number (7397376).

Almost surely, 2^220134180 is an apocalyptic number.

220134180 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 220134180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355074048).

220134180 is an abundant number, since it is smaller than the sum of its proper divisors (490013916).

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

220134180 is a wasteful number, since it uses less digits than its factorization.

220134180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4273 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 220134180 is about 14836.9194915926. The cubic root of 220134180 is about 603.8037789284.

The spelling of 220134180 in words is "two hundred twenty million, one hundred thirty-four thousand, one hundred eighty".