214033248 has 144 divisors (see below), whose sum is σ = 715203216. Its totient is φ = 59857920.

The previous prime is 214033229. The next prime is 214033249. The reversal of 214033248 is 842330412.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214033249) 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, 38586 + ... + 43782.

It is an arithmetic number, because the mean of its divisors is an integer number (4966689).

Almost surely, 2^214033248 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 214033248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357601608).

214033248 is an abundant number, since it is smaller than the sum of its proper divisors (501169968).

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

214033248 is a wasteful number, since it uses less digits than its factorization.

214033248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5237 (or 5226 counting only the distinct ones).

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

The square root of 214033248 is about 14629.8751874375. The cubic root of 214033248 is about 598.1733780637.

The spelling of 214033248 in words is "two hundred fourteen million, thirty-three thousand, two hundred forty-eight".