214003225 has 24 divisors (see below), whose sum is σ = 282537720. Its totient is φ = 160235520.

The previous prime is 214003211. The next prime is 214003291. The reversal of 214003225 is 522300412.

It can be written as a sum of positive squares in 12 ways, for example, as 55041561 + 158961664 = 7419^2 + 12608^2 .

It is not a de Polignac number, because 214003225 - 2²¹ = 211906073 is a prime.

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 23 ways as a sum of consecutive naturals, for example, 80721 + ... + 83329.

It is an arithmetic number, because the mean of its divisors is an integer number (11772405).

Almost surely, 2^214003225 is an apocalyptic number.

214003225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

214003225 is a deficient number, since it is larger than the sum of its proper divisors (68534495).

214003225 is a wasteful number, since it uses less digits than its factorization.

214003225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 214003225 is about 14628.8490661432. The cubic root of 214003225 is about 598.1454076443.

Adding to 214003225 its reverse (522300412), we get a palindrome (736303637).

The spelling of 214003225 in words is "two hundred fourteen million, three thousand, two hundred twenty-five".