221899860 has 576 divisors, whose sum is σ = 939294720. Its totient is φ = 41057280.

The previous prime is 221899771. The next prime is 221899871. The reversal of 221899860 is 68998122.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7158045 + ... + 7158075.

It is an arithmetic number, because the mean of its divisors is an integer number (1630720).

Almost surely, 2^221899860 is an apocalyptic number.

221899860 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 221899860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469647360).

221899860 is an abundant number, since it is smaller than the sum of its proper divisors (717394860).

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

221899860 is a wasteful number, since it uses less digits than its factorization.

221899860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 221899860 is about 14896.3035683353. The cubic root of 221899860 is about 605.4138370241.

The spelling of 221899860 in words is "two hundred twenty-one million, eight hundred ninety-nine thousand, eight hundred sixty".