213416144 has 20 divisors (see below), whose sum is σ = 414228324. Its totient is φ = 106518528.

The previous prime is 213416123. The next prime is 213416153. The reversal of 213416144 is 441614312.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 100801600 + 112614544 = 10040^2 + 10612^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2327 + ... + 20790.

Almost surely, 2^213416144 is an apocalyptic number.

It is an amenable number.

213416144 is a deficient number, since it is larger than the sum of its proper divisors (200812180).

213416144 is a wasteful number, since it uses less digits than its factorization.

213416144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23702 (or 23696 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 213416144 is about 14608.7694211388. The cubic root of 213416144 is about 597.5979370632.

The spelling of 213416144 in words is "two hundred thirteen million, four hundred sixteen thousand, one hundred forty-four".