214220230224 has 640 divisors, whose sum is σ = 781989949440. Its totient is φ = 48737894400.

The previous prime is 214220230199. The next prime is 214220230241. The reversal of 214220230224 is 422032022412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 214220230194 and 214220230203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72887347 + ... + 72890285.

It is an arithmetic number, because the mean of its divisors is an integer number (1221859296).

Almost surely, 2^214220230224 is an apocalyptic number.

214220230224 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 214220230224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390994974720).

214220230224 is an abundant number, since it is smaller than the sum of its proper divisors (567769719216).

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

214220230224 is a wasteful number, since it uses less digits than its factorization.

214220230224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 214220230224 its reverse (422032022412), we get a palindrome (636252252636).

It can be divided in two parts, 214220 and 230224, that added together give a palindrome (444444).

The spelling of 214220230224 in words is "two hundred fourteen billion, two hundred twenty million, two hundred thirty thousand, two hundred twenty-four".