221201330 has 64 divisors (see below), whose sum is σ = 468737280. Its totient is φ = 73592064.

The previous prime is 221201329. The next prime is 221201333. The reversal of 221201330 is 33102122.

221201330 = 343² + 344² + ... + 889².

It is a happy number.

221201330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×221201330³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (221201333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404117 + ... + 404663.

It is an arithmetic number, because the mean of its divisors is an integer number (7324020).

Almost surely, 2^221201330 is an apocalyptic number.

221201330 is an abundant number, since it is smaller than the sum of its proper divisors (247535950).

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

221201330 is a wasteful number, since it uses less digits than its factorization.

221201330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 221201330 is about 14872.8386665088. The cubic root of 221201330 is about 604.7778981202. Note that the first 3 decimals are identical.

Adding to 221201330 its reverse (33102122), we get a palindrome (254303452).

The spelling of 221201330 in words is "two hundred twenty-one million, two hundred one thousand, three hundred thirty".