216174920 has 32 divisors (see below), whose sum is σ = 523809720. Its totient is φ = 79818240.

The previous prime is 216174887. The next prime is 216174929. The reversal of 216174920 is 29471612.

It is a happy number.

216174920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 61371556 + 154803364 = 7834^2 + 12442^2 .

It is not an unprimeable number, because it can be changed into a prime (216174929) 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 7 ways as a sum of consecutive naturals, for example, 207341 + ... + 208380.

Almost surely, 2^216174920 is an apocalyptic number.

216174920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216174920 is an abundant number, since it is smaller than the sum of its proper divisors (307634800).

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

216174920 is a wasteful number, since it uses less digits than its factorization.

216174920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415745 (or 415741 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 216174920 is about 14702.8881516524. Note that the first 3 decimals coincide. The cubic root of 216174920 is about 600.1619192626.

The spelling of 216174920 in words is "two hundred sixteen million, one hundred seventy-four thousand, nine hundred twenty".