221014400 has 48 divisors (see below), whose sum is σ = 545982540. Its totient is φ = 88404480.

The previous prime is 221014397. The next prime is 221014421. The reversal of 221014400 is 4410122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31334 + ... + 37733.

Almost surely, 2^221014400 is an apocalyptic number.

221014400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221014400 is an abundant number, since it is smaller than the sum of its proper divisors (324968140).

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

221014400 is an equidigital number, since it uses as much as digits as its factorization.

221014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69091 (or 69074 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 221014400 is about 14866.5530638410. The cubic root of 221014400 is about 604.6074907773.

Adding to 221014400 its reverse (4410122), we get a palindrome (225424522).

The spelling of 221014400 in words is "two hundred twenty-one million, fourteen thousand, four hundred".