220166540 has 48 divisors (see below), whose sum is σ = 511328160. Its totient is φ = 78958080.

The previous prime is 220166537. The next prime is 220166543. The reversal of 220166540 is 45661022.

220166540 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220166537) and next prime (220166543).

220166540 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (220166543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9206 + ... + 22914.

It is an arithmetic number, because the mean of its divisors is an integer number (10652670).

Almost surely, 2^220166540 is an apocalyptic number.

220166540 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 220166540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255664080).

220166540 is an abundant number, since it is smaller than the sum of its proper divisors (291161620).

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

220166540 is a wasteful number, since it uses less digits than its factorization.

220166540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13802 (or 13800 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 220166540 is about 14838.0099743867. The cubic root of 220166540 is about 603.8333641159.

The spelling of 220166540 in words is "two hundred twenty million, one hundred sixty-six thousand, five hundred forty".