214822880 has 48 divisors (see below), whose sum is σ = 537379920. Its totient is φ = 80873472.

The previous prime is 214822879. The next prime is 214822891. The reversal of 214822880 is 88228412.

It is a super-2 number, since 2×214822880² = 92297739542988800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214822880.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 36770 + ... + 42209.

It is an arithmetic number, because the mean of its divisors is an integer number (11195415).

Almost surely, 2^214822880 is an apocalyptic number.

214822880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214822880 is an abundant number, since it is smaller than the sum of its proper divisors (322557040).

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

214822880 is a wasteful number, since it uses less digits than its factorization.

214822880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79011 (or 79003 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 35.

The square root of 214822880 is about 14656.8373123263. The cubic root of 214822880 is about 598.9080881604.

The spelling of 214822880 in words is "two hundred fourteen million, eight hundred twenty-two thousand, eight hundred eighty".