220849200 has 540 divisors, whose sum is σ = 935591160. Its totient is φ = 49420800.

The previous prime is 220849199. The next prime is 220849207. The reversal of 220849200 is 2948022.

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.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (220849207) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 16988394 + ... + 16988406.

Almost surely, 2^220849200 is an apocalyptic number.

220849200 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 220849200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467795580).

220849200 is an abundant number, since it is smaller than the sum of its proper divisors (714741960).

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

220849200 is a wasteful number, since it uses less digits than its factorization.

220849200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 220849200 is about 14860.9959289410. The cubic root of 220849200 is about 604.4568127315.

Multiplying 220849200 by its sum of digits (27), we get a square (5962928400 = 77220²).

220849200 divided by its sum of digits (27) gives a square (8179600 = 2860²).

The spelling of 220849200 in words is "two hundred twenty million, eight hundred forty-nine thousand, two hundred".