221260800 has 264 divisors, whose sum is σ = 759453376. Its totient is φ = 56770560.

The previous prime is 221260769. The next prime is 221260811. The reversal of 221260800 is 8062122.

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, 3302367 + ... + 3302433.

Almost surely, 2^221260800 is an apocalyptic number.

221260800 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 221260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379726688).

221260800 is an abundant number, since it is smaller than the sum of its proper divisors (538192576).

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

221260800 is a wasteful number, since it uses less digits than its factorization.

221260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 221260800 is about 14874.8378142419. The cubic root of 221260800 is about 604.8320914636.

The spelling of 221260800 in words is "two hundred twenty-one million, two hundred sixty thousand, eight hundred".