218016942 has 64 divisors (see below), whose sum is σ = 542433024. Its totient is φ = 57392640.

The previous prime is 218016899. The next prime is 218016943. The reversal of 218016942 is 249610812.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218016943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7113 + ... + 22059.

It is an arithmetic number, because the mean of its divisors is an integer number (8475516).

Almost surely, 2^218016942 is an apocalyptic number.

218016942 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 218016942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271216512).

218016942 is an abundant number, since it is smaller than the sum of its proper divisors (324416082).

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

218016942 is a wasteful number, since it uses less digits than its factorization.

218016942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14993.

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 218016942 is about 14765.3967776013. The cubic root of 218016942 is about 601.8617560213.

The spelling of 218016942 in words is "two hundred eighteen million, sixteen thousand, nine hundred forty-two".