214033232000 has 128 divisors (see below), whose sum is σ = 608160458880. Its totient is φ = 73382784000.

The previous prime is 214033231957. The next prime is 214033232029. The reversal of 214033232000 is 232330412.

214033232000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 843506 + ... + 1067505.

It is an arithmetic number, because the mean of its divisors is an integer number (4751253585).

Almost surely, 2^214033232000 is an apocalyptic number.

214033232000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214033232000 is an abundant number, since it is smaller than the sum of its proper divisors (394127226880).

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

214033232000 is an equidigital number, since it uses as much as digits as its factorization.

214033232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911047 (or 1911025 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 214033232000 its reverse (232330412), we get a palindrome (214265562412).

The spelling of 214033232000 in words is "two hundred fourteen billion, thirty-three million, two hundred thirty-two thousand".