225120016 has 75 divisors (see below), whose sum is σ = 495760215. Its totient is φ = 99026400.

The previous prime is 225119957. The next prime is 225120019. The reversal of 225120016 is 610021522.

The square root of 225120016 is 15004.

It is a perfect power (a square), and thus also a powerful number.

It is a junction number, because it is equal to n+sod(n) for n = 225119975 and 225120002.

It is not an unprimeable number, because it can be changed into a prime (225120019) 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 14 ways as a sum of consecutive naturals, for example, 7261921 + ... + 7261951.

Almost surely, 2^225120016 is an apocalyptic number.

225120016 is the 15004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225120016

225120016 is an abundant number, since it is smaller than the sum of its proper divisors (270640199).

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

225120016 is an frugal number, since it uses more digits than its factorization.

225120016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The cubic root of 225120016 is about 608.3283227877.

Adding to 225120016 its reverse (610021522), we get a palindrome (835141538).

The spelling of 225120016 in words is "two hundred twenty-five million, one hundred twenty thousand, sixteen".