221971200 has 216 divisors, whose sum is σ = 799907136. Its totient is φ = 53760000.

The previous prime is 221971199. The next prime is 221971219. The reversal of 221971200 is 2179122.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 210675 + ... + 211725.

Almost surely, 2^221971200 is an apocalyptic number.

221971200 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 221971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399953568).

221971200 is an abundant number, since it is smaller than the sum of its proper divisors (577935936).

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

221971200 is a wasteful number, since it uses less digits than its factorization.

221971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 221971200 is about 14898.6979296850. The cubic root of 221971200 is about 605.4787095233.

The spelling of 221971200 in words is "two hundred twenty-one million, nine hundred seventy-one thousand, two hundred".