214153344 has 48 divisors (see below), whose sum is σ = 616251870. Its totient is φ = 71384064.

The previous prime is 214153343. The next prime is 214153361. The reversal of 214153344 is 443351412.

It is a happy number.

214153344 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 only one way, i.e., 198471744 + 15681600 = 14088^2 + 3960^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (214153343) 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 5 ways as a sum of consecutive naturals, for example, 91797 + ... + 94100.

Almost surely, 2^214153344 is an apocalyptic number.

214153344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214153344 is an abundant number, since it is smaller than the sum of its proper divisors (402098526).

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

214153344 is a wasteful number, since it uses less digits than its factorization.

214153344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185917 (or 185902 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 214153344 is about 14633.9790897760. The cubic root of 214153344 is about 598.2852373169.

The spelling of 214153344 in words is "two hundred fourteen million, one hundred fifty-three thousand, three hundred forty-four".