213214240224 has 96 divisors (see below), whose sum is σ = 622265898240. Its totient is φ = 71026724736.

The previous prime is 213214240199. The next prime is 213214240237. The reversal of 213214240224 is 422042412312.

It is a happy number.

213214240224 is a `hidden beast` number, since 2 + 13 + 2 + 1 + 424 + 0 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1311667 + ... + 1465229.

It is an arithmetic number, because the mean of its divisors is an integer number (6481936440).

Almost surely, 2^213214240224 is an apocalyptic number.

213214240224 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 213214240224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311132949120).

213214240224 is an abundant number, since it is smaller than the sum of its proper divisors (409051658016).

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

213214240224 is a wasteful number, since it uses less digits than its factorization.

213214240224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155189 (or 155175 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 213214240224 its reverse (422042412312), we get a palindrome (635256652536).

The spelling of 213214240224 in words is "two hundred thirteen billion, two hundred fourteen million, two hundred forty thousand, two hundred twenty-four".