221163600 has 240 divisors, whose sum is σ = 820340352. Its totient is φ = 49889280.

The previous prime is 221163521. The next prime is 221163601. The reversal of 221163600 is 6361122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221163601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 949084 + ... + 949316.

Almost surely, 2^221163600 is an apocalyptic number.

221163600 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 221163600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410170176).

221163600 is an abundant number, since it is smaller than the sum of its proper divisors (599176752).

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

221163600 is a wasteful number, since it uses less digits than its factorization.

221163600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 221163600 is about 14871.5701928209. The cubic root of 221163600 is about 604.7435107930.

The spelling of 221163600 in words is "two hundred twenty-one million, one hundred sixty-three thousand, six hundred".