220819200 has 432 divisors, whose sum is σ = 875943936. Its totient is φ = 47923200.

The previous prime is 220819187. The next prime is 220819223. The reversal of 220819200 is 2918022.

It is a super-2 number, since 2×220819200² = 97522238177280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4166374 + ... + 4166426.

It is an arithmetic number, because the mean of its divisors is an integer number (2027648).

Almost surely, 2^220819200 is an apocalyptic number.

220819200 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 220819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437971968).

220819200 is an abundant number, since it is smaller than the sum of its proper divisors (655124736).

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

220819200 is a wasteful number, since it uses less digits than its factorization.

220819200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 220819200 is about 14859.9865410437. The cubic root of 220819200 is about 604.4294418293.

The spelling of 220819200 in words is "two hundred twenty million, eight hundred nineteen thousand, two hundred".