214029088 has 96 divisors (see below), whose sum is σ = 526829184. Its totient is φ = 83331072.

The previous prime is 214029083. The next prime is 214029097. The reversal of 214029088 is 880920412.

It is a super-2 number, since 2×214029088² = 91616901020223488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214029083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194556 + ... + 195652.

It is an arithmetic number, because the mean of its divisors is an integer number (5487804).

Almost surely, 2^214029088 is an apocalyptic number.

214029088 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 214029088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263414592).

214029088 is an abundant number, since it is smaller than the sum of its proper divisors (312800096).

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

214029088 is a wasteful number, since it uses less digits than its factorization.

214029088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 214029088 is about 14629.7330119179. The cubic root of 214029088 is about 598.1695026262.

The spelling of 214029088 in words is "two hundred fourteen million, twenty-nine thousand, eighty-eight".