220883040 has 288 divisors, whose sum is σ = 912824640. Its totient is φ = 47480832.

The previous prime is 220883011. The next prime is 220883063. The reversal of 220883040 is 40388022.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 220882995 and 220883013.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 170716 + ... + 172004.

It is an arithmetic number, because the mean of its divisors is an integer number (3169530).

Almost surely, 2^220883040 is an apocalyptic number.

220883040 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 220883040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456412320).

220883040 is an abundant number, since it is smaller than the sum of its proper divisors (691941600).

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

220883040 is a wasteful number, since it uses less digits than its factorization.

220883040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 220883040 is about 14862.1344362107. The cubic root of 220883040 is about 604.4876841344.

The spelling of 220883040 in words is "two hundred twenty million, eight hundred eighty-three thousand, forty".