218101920 has 48 divisors (see below), whose sum is σ = 687022560. Its totient is φ = 58160384.

The previous prime is 218101913. The next prime is 218101921. The reversal of 218101920 is 29101812.

218101920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (218101921) 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 7 ways as a sum of consecutive naturals, for example, 226710 + ... + 227669.

It is an arithmetic number, because the mean of its divisors is an integer number (14312970).

Almost surely, 2^218101920 is an apocalyptic number.

218101920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218101920 is an abundant number, since it is smaller than the sum of its proper divisors (468920640).

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

218101920 is a wasteful number, since it uses less digits than its factorization.

218101920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454397 (or 454389 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 218101920 is about 14768.2741036317. The cubic root of 218101920 is about 601.9399431631.

The spelling of 218101920 in words is "two hundred eighteen million, one hundred one thousand, nine hundred twenty".