220355040 has 96 divisors (see below), whose sum is σ = 702608256. Its totient is φ = 58042880.

The previous prime is 220355039. The next prime is 220355041. The reversal of 220355040 is 40553022.

220355040 is digitally balanced in base 3, because in such base 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 (220355039) and next prime (220355041).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 220354998 and 220355016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220355041) 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, 37075 + ... + 42605.

It is an arithmetic number, because the mean of its divisors is an integer number (7318836).

Almost surely, 2^220355040 is an apocalyptic number.

220355040 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 220355040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351304128).

220355040 is an abundant number, since it is smaller than the sum of its proper divisors (482253216).

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

220355040 is a wasteful number, since it uses less digits than its factorization.

220355040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5632 (or 5624 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 220355040 is about 14844.3605453384. The cubic root of 220355040 is about 604.0056429746.

The spelling of 220355040 in words is "two hundred twenty million, three hundred fifty-five thousand, forty".