221214440 has 32 divisors (see below), whose sum is σ = 499529160. Its totient is φ = 88166400.

The previous prime is 221214431. The next prime is 221214463. The reversal of 221214440 is 44412122.

221214440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 220760164 + 454276 = 14858^2 + 674^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1400 + ... + 21080.

Almost surely, 2^221214440 is an apocalyptic number.

221214440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221214440 is an abundant number, since it is smaller than the sum of its proper divisors (278314720).

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

221214440 is a wasteful number, since it uses less digits than its factorization.

221214440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19973 (or 19969 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 221214440 is about 14873.2793962865. The cubic root of 221214440 is about 604.7898457302.

Adding to 221214440 its reverse (44412122), we get a palindrome (265626562).

The spelling of 221214440 in words is "two hundred twenty-one million, two hundred fourteen thousand, four hundred forty".