221289600 has 384 divisors, whose sum is σ = 865123200. Its totient is φ = 48660480.

The previous prime is 221289569. The next prime is 221289611. The reversal of 221289600 is 6982122.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2486356 + ... + 2486444.

It is an arithmetic number, because the mean of its divisors is an integer number (2252925).

Almost surely, 2^221289600 is an apocalyptic number.

221289600 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 221289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432561600).

221289600 is an abundant number, since it is smaller than the sum of its proper divisors (643833600).

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

221289600 is a wasteful number, since it uses less digits than its factorization.

221289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 221289600 is about 14875.8058605240. The cubic root of 221289600 is about 604.8583326061.

The spelling of 221289600 in words is "two hundred twenty-one million, two hundred eighty-nine thousand, six hundred".