225536416 has 72 divisors (see below), whose sum is σ = 546966756. Its totient is φ = 90961920.

The previous prime is 225536411. The next prime is 225536471. The reversal of 225536416 is 614635522.

It can be written as a sum of positive squares in 2 ways, for example, as 201526416 + 24010000 = 14196^2 + 4900^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (225536411) 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 11 ways as a sum of consecutive naturals, for example, 22426 + ... + 30886.

Almost surely, 2^225536416 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 225536416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273483378).

225536416 is an abundant number, since it is smaller than the sum of its proper divisors (321430340).

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

225536416 is a wasteful number, since it uses less digits than its factorization.

225536416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8502 (or 8487 counting only the distinct ones).

The product of its digits is 43200, while the sum is 34.

The square root of 225536416 is about 15017.8698889024. The cubic root of 225536416 is about 608.7031626899.

The spelling of 225536416 in words is "two hundred twenty-five million, five hundred thirty-six thousand, four hundred sixteen".