225246016 has 56 divisors (see below), whose sum is σ = 465932520. Its totient is φ = 107907072.

The previous prime is 225246013. The next prime is 225246017. The reversal of 225246016 is 610642522.

It can be written as a sum of positive squares in 4 ways, for example, as 246016 + 225000000 = 496^2 + 15000^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225246013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 291006 + ... + 291778.

Almost surely, 2^225246016 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 225246016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232966260).

225246016 is an abundant number, since it is smaller than the sum of its proper divisors (240686504).

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

225246016 is a wasteful number, since it uses less digits than its factorization.

225246016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 225246016 is about 15008.1982929331. The cubic root of 225246016 is about 608.4417957020.

Adding to 225246016 its reverse (610642522), we get a palindrome (835888538).

It can be divided in two parts, 225 and 246016, that multiplied together give a square (55353600 = 7440²).

The spelling of 225246016 in words is "two hundred twenty-five million, two hundred forty-six thousand, sixteen".