213314302224 has 100 divisors (see below), whose sum is σ = 619143795996. Its totient is φ = 70903185408.

The previous prime is 213314302183. The next prime is 213314302231. The reversal of 213314302224 is 422203413312.

213314302224 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 1 + 430 + 2 + 224 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39375258624 + 173939043600 = 198432^2 + 417060^2 .

It is a super-2 number, since 2×213314302224² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 224352 + ... + 690624.

Almost surely, 2^213314302224 is an apocalyptic number.

213314302224 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 213314302224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309571897998).

213314302224 is an abundant number, since it is smaller than the sum of its proper divisors (405829493772).

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

213314302224 is a wasteful number, since it uses less digits than its factorization.

213314302224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466646 (or 466631 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 213314302224 its reverse (422203413312), we get a palindrome (635517715536).

The spelling of 213314302224 in words is "two hundred thirteen billion, three hundred fourteen million, three hundred two thousand, two hundred twenty-four".