221916700 has 72 divisors (see below), whose sum is σ = 506998800. Its totient is φ = 84188160.

The previous prime is 221916689. The next prime is 221916703. The reversal of 221916700 is 7619122.

It is a happy number.

221916700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221916703) 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, 170452 + ... + 171748.

It is an arithmetic number, because the mean of its divisors is an integer number (7041650).

Almost surely, 2^221916700 is an apocalyptic number.

221916700 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 221916700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253499400).

221916700 is an abundant number, since it is smaller than the sum of its proper divisors (285082100).

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

221916700 is a wasteful number, since it uses less digits than its factorization.

221916700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 221916700 is about 14896.8687985093. The cubic root of 221916700 is about 605.4291516066.

The spelling of 221916700 in words is "two hundred twenty-one million, nine hundred sixteen thousand, seven hundred".