221014200 has 96 divisors (see below), whose sum is σ = 747452160. Its totient is φ = 53577600.

The previous prime is 221014147. The next prime is 221014201. The reversal of 221014200 is 2410122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221014201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10144 + ... + 23343.

It is an arithmetic number, because the mean of its divisors is an integer number (7785960).

Almost surely, 2^221014200 is an apocalyptic number.

221014200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221014200 is an abundant number, since it is smaller than the sum of its proper divisors (526437960).

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

221014200 is a wasteful number, since it uses less digits than its factorization.

221014200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33517 (or 33508 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 221014200 is about 14866.5463373307. The cubic root of 221014200 is about 604.6073084037.

Adding to 221014200 its reverse (2410122), we get a palindrome (223424322).

The spelling of 221014200 in words is "two hundred twenty-one million, fourteen thousand, two hundred".