214525312 has 64 divisors (see below), whose sum is σ = 455401440. Its totient is φ = 100311040.

The previous prime is 214525309. The next prime is 214525321. The reversal of 214525312 is 213525412.

214525312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×214525312² = 92042218977394688, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 676578 + ... + 676894.

Almost surely, 2^214525312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214525312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227700720).

214525312 is an abundant number, since it is smaller than the sum of its proper divisors (240876128).

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

214525312 is a wasteful number, since it uses less digits than its factorization.

214525312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 647 counting only the distinct ones).

The product of its digits is 2400, while the sum is 25.

The square root of 214525312 is about 14646.6826278171. The cubic root of 214525312 is about 598.6314288767.

The spelling of 214525312 in words is "two hundred fourteen million, five hundred twenty-five thousand, three hundred twelve".