214733568 has 144 divisors (see below), whose sum is σ = 665199360. Its totient is φ = 60223488.

The previous prime is 214733557. The next prime is 214733569. The reversal of 214733568 is 865337412.

214733568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214733568² = 92221010452021248, which contains 22 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (214733569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316846 + ... + 317522.

It is an arithmetic number, because the mean of its divisors is an integer number (4619440).

Almost surely, 2^214733568 is an apocalyptic number.

214733568 is a gapful number since it is divisible by the number (28) 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 214733568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332599680).

214733568 is an abundant number, since it is smaller than the sum of its proper divisors (450465792).

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

214733568 is an equidigital number, since it uses as much as digits as its factorization.

214733568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 748 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 214733568 is about 14653.7902264227. The cubic root of 214733568 is about 598.8250785455.

The spelling of 214733568 in words is "two hundred fourteen million, seven hundred thirty-three thousand, five hundred sixty-eight".