214312224 has 48 divisors (see below), whose sum is σ = 642938688. Its totient is φ = 61231872.

The previous prime is 214312223. The next prime is 214312243. The reversal of 214312224 is 422213412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 214312224.

It is not an unprimeable number, because it can be changed into a prime (214312223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158787 + ... + 160130.

It is an arithmetic number, because the mean of its divisors is an integer number (13394556).

Almost surely, 2^214312224 is an apocalyptic number.

214312224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214312224 is an abundant number, since it is smaller than the sum of its proper divisors (428626464).

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

214312224 is a wasteful number, since it uses less digits than its factorization.

214312224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318937 (or 318929 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 214312224 is about 14639.4065453488. The cubic root of 214312224 is about 598.4331563410.

Adding to 214312224 its reverse (422213412), we get a palindrome (636525636).

The spelling of 214312224 in words is "two hundred fourteen million, three hundred twelve thousand, two hundred twenty-four".