225162336 has 96 divisors (see below), whose sum is σ = 689955840. Its totient is φ = 62954496.

The previous prime is 225162313. The next prime is 225162337. The reversal of 225162336 is 633261522.

225162336 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (225162337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28020 + ... + 35148.

It is an arithmetic number, because the mean of its divisors is an integer number (7187040).

Almost surely, 2^225162336 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 225162336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344977920).

225162336 is an abundant number, since it is smaller than the sum of its proper divisors (464793504).

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

225162336 is a wasteful number, since it uses less digits than its factorization.

225162336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7196 (or 7188 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 225162336 is about 15005.4102243158. The cubic root of 225162336 is about 608.3664399989.

The spelling of 225162336 in words is "two hundred twenty-five million, one hundred sixty-two thousand, three hundred thirty-six".