214914336 has 192 divisors, whose sum is σ = 705938688. Its totient is φ = 55738368.

The previous prime is 214914313. The next prime is 214914397. The reversal of 214914336 is 633419412.

214914336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 214914297 and 214914306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 637560 + ... + 637896.

It is an arithmetic number, because the mean of its divisors is an integer number (3676764).

Almost surely, 2^214914336 is an apocalyptic number.

214914336 is a gapful number since it is divisible by the number (26) 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 214914336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352969344).

214914336 is an abundant number, since it is smaller than the sum of its proper divisors (491024352).

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

214914336 is a wasteful number, since it uses less digits than its factorization.

214914336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 435 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 214914336 is about 14659.9568894318. The cubic root of 214914336 is about 598.9930666429.

The spelling of 214914336 in words is "two hundred fourteen million, nine hundred fourteen thousand, three hundred thirty-six".