213328144 has 20 divisors (see below), whose sum is σ = 413570380. Its totient is φ = 106600320.

The previous prime is 213328103. The next prime is 213328153. The reversal of 213328144 is 441823312.

It can be written as a sum of positive squares in 2 ways, for example, as 57577744 + 155750400 = 7588^2 + 12480^2 .

It is a nialpdrome in base 16.

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 3 ways as a sum of consecutive naturals, for example, 35434 + ... + 41014.

It is an arithmetic number, because the mean of its divisors is an integer number (20678519).

Almost surely, 2^213328144 is an apocalyptic number.

It is an amenable number.

213328144 is a deficient number, since it is larger than the sum of its proper divisors (200242236).

213328144 is a wasteful number, since it uses less digits than its factorization.

213328144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7978 (or 7972 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 213328144 is about 14605.7572210413. The cubic root of 213328144 is about 597.5157879385.

The spelling of 213328144 in words is "two hundred thirteen million, three hundred twenty-eight thousand, one hundred forty-four".