214424232000 has 224 divisors, whose sum is σ = 772396020864. Its totient is φ = 51981568000.

The previous prime is 214424231953. The next prime is 214424232013. The reversal of 214424232000 is 232424412.

214424232000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142107 + ... + 670106.

Almost surely, 2^214424232000 is an apocalyptic number.

214424232000 is a gapful number since it is divisible by the number (20) 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 214424232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386198010432).

214424232000 is an abundant number, since it is smaller than the sum of its proper divisors (557971788864).

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

214424232000 is a wasteful number, since it uses less digits than its factorization.

214424232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812254 (or 812234 counting only the distinct ones).

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

Adding to 214424232000 its reverse (232424412), we get a palindrome (214656656412).

The spelling of 214424232000 in words is "two hundred fourteen billion, four hundred twenty-four million, two hundred thirty-two thousand".