214227722320 has 80 divisors (see below), whose sum is σ = 525981156480. Its totient is φ = 80919820800.

The previous prime is 214227722249. The next prime is 214227722323. The reversal of 214227722320 is 23227722412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214227722323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246130 + ... + 699310.

It is an arithmetic number, because the mean of its divisors is an integer number (6574764456).

Almost surely, 2^214227722320 is an apocalyptic number.

214227722320 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 214227722320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262990578240).

214227722320 is an abundant number, since it is smaller than the sum of its proper divisors (311753434160).

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

214227722320 is a wasteful number, since it uses less digits than its factorization.

214227722320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453524 (or 453518 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 34.

The spelling of 214227722320 in words is "two hundred fourteen billion, two hundred twenty-seven million, seven hundred twenty-two thousand, three hundred twenty".