225441216 has 672 divisors, whose sum is σ = 958583808. Its totient is φ = 48660480.

The previous prime is 225441133. The next prime is 225441221. The reversal of 225441216 is 612144522.

225441216 is a `hidden beast` number, since 2 + 2 + 5 + 441 + 216 = 666.

225441216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 225441216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9801781 + ... + 9801803.

It is an arithmetic number, because the mean of its divisors is an integer number (1426464).

Almost surely, 2^225441216 is an apocalyptic number.

225441216 is a gapful number since it is divisible by the number (26) 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 225441216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479291904).

225441216 is an abundant number, since it is smaller than the sum of its proper divisors (733142592).

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

225441216 is a wasteful number, since it uses less digits than its factorization.

225441216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 76 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 225441216 is about 15014.6999970029. The cubic root of 225441216 is about 608.6175051311.

Adding to 225441216 its reverse (612144522), we get a palindrome (837585738).

The spelling of 225441216 in words is "two hundred twenty-five million, four hundred forty-one thousand, two hundred sixteen".