220819536 has 240 divisors, whose sum is σ = 742809600. Its totient is φ = 59933952.

The previous prime is 220819513. The next prime is 220819597. The reversal of 220819536 is 635918022.

It is a super-2 number, since 2×220819536² = 97522534958510592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 220819536.

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, 2795145 + ... + 2795223.

It is an arithmetic number, because the mean of its divisors is an integer number (3095040).

Almost surely, 2^220819536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220819536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371404800).

220819536 is an abundant number, since it is smaller than the sum of its proper divisors (521990064).

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

220819536 is a wasteful number, since it uses less digits than its factorization.

220819536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 220819536 is about 14859.9978465678. The cubic root of 220819536 is about 604.4297483972.

The spelling of 220819536 in words is "two hundred twenty million, eight hundred nineteen thousand, five hundred thirty-six".