221848800 has 144 divisors (see below), whose sum is σ = 753701760. Its totient is φ = 56573440.

The previous prime is 221848763. The next prime is 221848813. The reversal of 221848800 is 8848122.

It is a super-2 number, since 2×221848800² = 98433780122880000, which contains 22 as substring.

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, 53191 + ... + 57209.

It is an arithmetic number, because the mean of its divisors is an integer number (5234040).

Almost surely, 2^221848800 is an apocalyptic number.

221848800 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 221848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376850880).

221848800 is an abundant number, since it is smaller than the sum of its proper divisors (531852960).

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

221848800 is a wasteful number, since it uses less digits than its factorization.

221848800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4065 (or 4052 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 221848800 is about 14894.5896217385. The cubic root of 221848800 is about 605.3673974547.

The spelling of 221848800 in words is "two hundred twenty-one million, eight hundred forty-eight thousand, eight hundred".