221415144 has 32 divisors (see below), whose sum is σ = 571395840. Its totient is φ = 71424000.

The previous prime is 221415143. The next prime is 221415149. The reversal of 221415144 is 441514122.

221415144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (221415143) 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 7 ways as a sum of consecutive naturals, for example, 148057 + ... + 149544.

It is an arithmetic number, because the mean of its divisors is an integer number (17856120).

Almost surely, 2^221415144 is an apocalyptic number.

221415144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221415144 is an abundant number, since it is smaller than the sum of its proper divisors (349980696).

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

221415144 is a wasteful number, since it uses less digits than its factorization.

221415144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297641 (or 297637 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 221415144 is about 14880.0249999790. The cubic root of 221415144 is about 604.9726955325.

Adding to 221415144 its reverse (441514122), we get a palindrome (662929266).

The spelling of 221415144 in words is "two hundred twenty-one million, four hundred fifteen thousand, one hundred forty-four".