218200040 has 32 divisors (see below), whose sum is σ = 497871360. Its totient is φ = 86049600.

The previous prime is 218200033. The next prime is 218200043. The reversal of 218200040 is 40002812.

218200040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×218200040² = 95222514912003200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 218199991 and 218200018.

It is not an unprimeable number, because it can be changed into a prime (218200043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35576 + ... + 41255.

It is an arithmetic number, because the mean of its divisors is an integer number (15558480).

Almost surely, 2^218200040 is an apocalyptic number.

218200040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218200040 is an abundant number, since it is smaller than the sum of its proper divisors (279671320).

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

218200040 is a wasteful number, since it uses less digits than its factorization.

218200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76913 (or 76909 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 218200040 is about 14771.5957161033. The cubic root of 218200040 is about 602.0301968275.

Adding to 218200040 its reverse (40002812), we get a palindrome (258202852).

The spelling of 218200040 in words is "two hundred eighteen million, two hundred thousand, forty".