220465120 has 96 divisors (see below), whose sum is σ = 548674560. Its totient is φ = 83550720.

The previous prime is 220465099. The next prime is 220465121. The reversal of 220465120 is 21564022.

It is a super-2 number, since 2×220465120² = 97209738273228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220465091 and 220465100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220465121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511305 + ... + 511735.

It is an arithmetic number, because the mean of its divisors is an integer number (5715360).

Almost surely, 2^220465120 is an apocalyptic number.

220465120 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 220465120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274337280).

220465120 is an abundant number, since it is smaller than the sum of its proper divisors (328209440).

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

220465120 is a wasteful number, since it uses less digits than its factorization.

220465120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 220465120 is about 14848.0678877758. The cubic root of 220465120 is about 604.1062047356.

The spelling of 220465120 in words is "two hundred twenty million, four hundred sixty-five thousand, one hundred twenty".