225122016 has 96 divisors (see below), whose sum is σ = 677714688. Its totient is φ = 64097280.

The previous prime is 225121991. The next prime is 225122039. The reversal of 225122016 is 610221522.

It is a happy number.

225122016 is digitally balanced in base 2, 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 225121983 and 225122001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349791 + ... + 350433.

It is an arithmetic number, because the mean of its divisors is an integer number (7059528).

Almost surely, 2^225122016 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 225122016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338857344).

225122016 is an abundant number, since it is smaller than the sum of its proper divisors (452592672).

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

225122016 is a wasteful number, since it uses less digits than its factorization.

225122016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 225122016 is about 15004.0666487456. The cubic root of 225122016 is about 608.3301242757.

Adding to 225122016 its reverse (610221522), we get a palindrome (835343538).

The spelling of 225122016 in words is "two hundred twenty-five million, one hundred twenty-two thousand, sixteen".