221284200 has 96 divisors (see below), whose sum is σ = 708168960. Its totient is φ = 57100800.

The previous prime is 221284199. The next prime is 221284201. The reversal of 221284200 is 2482122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (221284199) and next prime (221284201).

It is not an unprimeable number, because it can be changed into a prime (221284201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12652 + ... + 24548.

It is an arithmetic number, because the mean of its divisors is an integer number (7376760).

Almost surely, 2^221284200 is an apocalyptic number.

221284200 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 221284200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354084480).

221284200 is an abundant number, since it is smaller than the sum of its proper divisors (486884760).

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

221284200 is a wasteful number, since it uses less digits than its factorization.

221284200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11947 (or 11938 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 221284200 is about 14875.6243566447. The cubic root of 221284200 is about 604.8534125653.

The spelling of 221284200 in words is "two hundred twenty-one million, two hundred eighty-four thousand, two hundred".