218073700 has 72 divisors (see below), whose sum is σ = 512328320. Its totient is φ = 80092800.

The previous prime is 218073643. The next prime is 218073701. The reversal of 218073700 is 7370812.

It is a happy number.

218073700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×218073700² = 95112277263380000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (218073701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351991 + ... + 352609.

Almost surely, 2^218073700 is an apocalyptic number.

218073700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218073700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256164160).

218073700 is an abundant number, since it is smaller than the sum of its proper divisors (294254620).

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

218073700 is a wasteful number, since it uses less digits than its factorization.

218073700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 218073700 is about 14767.3186462540. The cubic root of 218073700 is about 601.9139805644.

The spelling of 218073700 in words is "two hundred eighteen million, seventy-three thousand, seven hundred".