214552224 has 72 divisors (see below), whose sum is σ = 619295040. Its totient is φ = 70443648.

The previous prime is 214552213. The next prime is 214552249. The reversal of 214552224 is 422255412.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 13737 + ... + 24855.

It is an arithmetic number, because the mean of its divisors is an integer number (8601320).

Almost surely, 2^214552224 is an apocalyptic number.

214552224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214552224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309647520).

214552224 is an abundant number, since it is smaller than the sum of its proper divisors (404742816).

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

214552224 is a wasteful number, since it uses less digits than its factorization.

214552224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11202 (or 11191 counting only the distinct ones).

The product of its digits is 6400, while the sum is 27.

The square root of 214552224 is about 14647.6013053332. The cubic root of 214552224 is about 598.6564604145.

The spelling of 214552224 in words is "two hundred fourteen million, five hundred fifty-two thousand, two hundred twenty-four".