220266020 has 96 divisors (see below), whose sum is σ = 521579520. Its totient is φ = 77575680.

The previous prime is 220265987. The next prime is 220266023. The reversal of 220266020 is 20662022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 220265983 and 220266001.

It is not an unprimeable number, because it can be changed into a prime (220266023) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 987629 + ... + 987851.

It is an arithmetic number, because the mean of its divisors is an integer number (5433120).

Almost surely, 2^220266020 is an apocalyptic number.

220266020 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 220266020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260789760).

220266020 is an abundant number, since it is smaller than the sum of its proper divisors (301313500).

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

220266020 is a wasteful number, since it uses less digits than its factorization.

220266020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 220266020 is about 14841.3617973554. The cubic root of 220266020 is about 603.9242957323.

The spelling of 220266020 in words is "two hundred twenty million, two hundred sixty-six thousand, twenty".