221300464 has 120 divisors (see below), whose sum is σ = 553678848. Its totient is φ = 84712320.

The previous prime is 221300461. The next prime is 221300483. The reversal of 221300464 is 464003122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221300461) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 577617 + ... + 577999.

Almost surely, 2^221300464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221300464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276839424).

221300464 is an abundant number, since it is smaller than the sum of its proper divisors (332378384).

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

221300464 is a wasteful number, since it uses less digits than its factorization.

221300464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 221300464 is about 14876.1710127304. The cubic root of 221300464 is about 604.8682307567.

Adding to 221300464 its reverse (464003122), we get a palindrome (685303586).

The spelling of 221300464 in words is "two hundred twenty-one million, three hundred thousand, four hundred sixty-four".