221059800 has 384 divisors, whose sum is σ = 849945600. Its totient is φ = 52462080.

The previous prime is 221059781. The next prime is 221059801. The reversal of 221059800 is 8950122.

221059800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221059801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3299367 + ... + 3299433.

It is an arithmetic number, because the mean of its divisors is an integer number (2213400).

Almost surely, 2^221059800 is an apocalyptic number.

221059800 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 221059800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424972800).

221059800 is an abundant number, since it is smaller than the sum of its proper divisors (628885800).

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

221059800 is a wasteful number, since it uses less digits than its factorization.

221059800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 221059800 is about 14868.0799029330. The cubic root of 221059800 is about 604.6488867237.

The spelling of 221059800 in words is "two hundred twenty-one million, fifty-nine thousand, eight hundred".