214908032 has 32 divisors (see below), whose sum is σ = 431011200. Its totient is φ = 106732800.

The previous prime is 214907981. The next prime is 214908041. The reversal of 214908032 is 230809412.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×214908032² = 92370924436226048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214907986 and 214908004.

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 3 ways as a sum of consecutive naturals, for example, 13769 + ... + 24887.

It is an arithmetic number, because the mean of its divisors is an integer number (13469100).

Almost surely, 2^214908032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214908032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215505600).

214908032 is an abundant number, since it is smaller than the sum of its proper divisors (216103168).

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

214908032 is a wasteful number, since it uses less digits than its factorization.

214908032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11284 (or 11272 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 214908032 is about 14659.7418804016. The cubic root of 214908032 is about 598.9872099075.

The spelling of 214908032 in words is "two hundred fourteen million, nine hundred eight thousand, thirty-two".