214303248 has 120 divisors (see below), whose sum is σ = 630046976. Its totient is φ = 67910400.

The previous prime is 214303247. The next prime is 214303249. The reversal of 214303248 is 842303412.

214303248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214303247) and next prime (214303249).

It is not an unprimeable number, because it can be changed into a prime (214303247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271911 + ... + 272697.

Almost surely, 2^214303248 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 214303248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315023488).

214303248 is an abundant number, since it is smaller than the sum of its proper divisors (415743728).

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

214303248 is a wasteful number, since it uses less digits than its factorization.

214303248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 214303248 is about 14639.0999723344. The cubic root of 214303248 is about 598.4248015353.

The spelling of 214303248 in words is "two hundred fourteen million, three hundred three thousand, two hundred forty-eight".