218092420 has 48 divisors (see below), whose sum is σ = 563689728. Its totient is φ = 69022080.

The previous prime is 218092387. The next prime is 218092421. The reversal of 218092420 is 24290812.

It is a super-2 number, since 2×218092420² = 95128607322912800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (218092421) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 58096 + ... + 61735.

It is an arithmetic number, because the mean of its divisors is an integer number (11743536).

Almost surely, 2^218092420 is an apocalyptic number.

218092420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218092420 is an abundant number, since it is smaller than the sum of its proper divisors (345597308).

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

218092420 is a wasteful number, since it uses less digits than its factorization.

218092420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119860 (or 119858 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 218092420 is about 14767.9524647122. The cubic root of 218092420 is about 601.9312033463.

The spelling of 218092420 in words is "two hundred eighteen million, ninety-two thousand, four hundred twenty".