221664300 has 144 divisors (see below), whose sum is σ = 753618432. Its totient is φ = 49593600.

The previous prime is 221664293. The next prime is 221664337. The reversal of 221664300 is 3466122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40317 + ... + 45483.

Almost surely, 2^221664300 is an apocalyptic number.

221664300 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 221664300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376809216).

221664300 is an abundant number, since it is smaller than the sum of its proper divisors (531954132).

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

221664300 is a wasteful number, since it uses less digits than its factorization.

221664300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5208 (or 5201 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 221664300 is about 14888.3948093809. The cubic root of 221664300 is about 605.1995334839.

The spelling of 221664300 in words is "two hundred twenty-one million, six hundred sixty-four thousand, three hundred".