221353200 has 90 divisors (see below), whose sum is σ = 768169584. Its totient is φ = 59026560.

The previous prime is 221353199. The next prime is 221353213. The reversal of 221353200 is 2353122.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27144 + ... + 34343.

Almost surely, 2^221353200 is an apocalyptic number.

221353200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221353200 is an abundant number, since it is smaller than the sum of its proper divisors (546816384).

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

221353200 is a wasteful number, since it uses less digits than its factorization.

221353200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61511 (or 61497 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 221353200 is about 14877.9434062642. The cubic root of 221353200 is about 604.9162737311.

The spelling of 221353200 in words is "two hundred twenty-one million, three hundred fifty-three thousand, two hundred".