221200000 has 192 divisors, whose sum is σ = 637459200. Its totient is φ = 74880000.

The previous prime is 221199991. The next prime is 221200009. The reversal of 221200000 is 2122.

It is a happy number.

221200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221199991) and next prime (221200009).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (221200009) 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, 2799961 + ... + 2800039.

It is an arithmetic number, because the mean of its divisors is an integer number (3320100).

Almost surely, 2^221200000 is an apocalyptic number.

221200000 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 221200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318729600).

221200000 is an abundant number, since it is smaller than the sum of its proper divisors (416259200).

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

221200000 is an frugal number, since it uses more digits than its factorization.

221200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 221200000 is about 14872.7939540626. The cubic root of 221200000 is about 604.7766860175.

Adding to 221200000 its reverse (2122), we get a palindrome (221202122).

The spelling of 221200000 in words is "two hundred twenty-one million, two hundred thousand".