221313040 has 40 divisors (see below), whose sum is σ = 554136408. Its totient is φ = 81715200.

The previous prime is 221313031. The next prime is 221313041. The reversal of 221313040 is 40313122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26543104 + 194769936 = 5152^2 + 13956^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (221313041) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 105361 + ... + 107440.

Almost surely, 2^221313040 is an apocalyptic number.

221313040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221313040 is an abundant number, since it is smaller than the sum of its proper divisors (332823368).

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

221313040 is a wasteful number, since it uses less digits than its factorization.

221313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212827 (or 212821 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 221313040 is about 14876.5936961389. The cubic root of 221313040 is about 604.8796882998.

Adding to 221313040 its reverse (40313122), we get a palindrome (261626162).

The spelling of 221313040 in words is "two hundred twenty-one million, three hundred thirteen thousand, forty".