221450100 has 72 divisors (see below), whose sum is σ = 642771360. Its totient is φ = 58865280.

The previous prime is 221450093. The next prime is 221450137. The reversal of 221450100 is 1054122.

221450100 is digitally balanced in base 3, 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221450100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110911 + ... + 112889.

It is an arithmetic number, because the mean of its divisors is an integer number (8927380).

Almost surely, 2^221450100 is an apocalyptic number.

221450100 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 221450100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321385680).

221450100 is an abundant number, since it is smaller than the sum of its proper divisors (421321260).

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

221450100 is a wasteful number, since it uses less digits than its factorization.

221450100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 221450100 is about 14881.1995484235. The cubic root of 221450100 is about 605.0045306220.

The spelling of 221450100 in words is "two hundred twenty-one million, four hundred fifty thousand, one hundred".