220883520 has 224 divisors, whose sum is σ = 824423040. Its totient is φ = 49397760.

The previous prime is 220883519. The next prime is 220883527. The reversal of 220883520 is 25388022.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220883527) 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 31 ways as a sum of consecutive naturals, for example, 136476 + ... + 138084.

It is an arithmetic number, because the mean of its divisors is an integer number (3680460).

Almost surely, 2^220883520 is an apocalyptic number.

220883520 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 220883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412211520).

220883520 is an abundant number, since it is smaller than the sum of its proper divisors (603539520).

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

220883520 is a wasteful number, since it uses less digits than its factorization.

220883520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 220883520 is about 14862.1505846227. The cubic root of 220883520 is about 604.4881220039.

The spelling of 220883520 in words is "two hundred twenty million, eight hundred eighty-three thousand, five hundred twenty".