220341600 has 216 divisors, whose sum is σ = 804870360. Its totient is φ = 58176000.

The previous prime is 220341581. The next prime is 220341601. The reversal of 220341600 is 6143022.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

220341600 is a `hidden beast` number, since 2 + 20 + 3 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220341601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2181550 + ... + 2181650.

Almost surely, 2^220341600 is an apocalyptic number.

220341600 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 220341600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402435180).

220341600 is an abundant number, since it is smaller than the sum of its proper divisors (584528760).

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

220341600 is a wasteful number, since it uses less digits than its factorization.

220341600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 220341600 is about 14843.9078412661. The cubic root of 220341600 is about 603.9933627913.

Adding to 220341600 its reverse (6143022), we get a palindrome (226484622).

The spelling of 220341600 in words is "two hundred twenty million, three hundred forty-one thousand, six hundred".