225715392 has 336 divisors, whose sum is σ = 813084480. Its totient is φ = 58392576.

The previous prime is 225715387. The next prime is 225715397. The reversal of 225715392 is 293517522.

225715392 is a `hidden beast` number, since 2 + 257 + 15 + 392 = 666.

225715392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225715387) and next prime (225715397).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (37800) is a multiple of the sum of its prime factors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225715397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2536084 + ... + 2536172.

Almost surely, 2^225715392 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 225715392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406542240).

225715392 is an abundant number, since it is smaller than the sum of its proper divisors (587369088).

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

225715392 is a wasteful number, since it uses less digits than its factorization.

225715392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 155 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 225715392 is about 15023.8274750478. The cubic root of 225715392 is about 608.8641336679.

The spelling of 225715392 in words is "two hundred twenty-five million, seven hundred fifteen thousand, three hundred ninety-two".