225715140 has 192 divisors, whose sum is σ = 809195520. Its totient is φ = 51166080.

The previous prime is 225715121. The next prime is 225715141. The reversal of 225715140 is 41517522.

225715140 is a `hidden beast` number, since 2 + 2 + 571 + 51 + 40 = 666.

225715140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (225715141) 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 63 ways as a sum of consecutive naturals, for example, 797439 + ... + 797721.

It is an arithmetic number, because the mean of its divisors is an integer number (4214560).

Almost surely, 2^225715140 is an apocalyptic number.

225715140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225715140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404597760).

225715140 is an abundant number, since it is smaller than the sum of its proper divisors (583480380).

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

225715140 is a wasteful number, since it uses less digits than its factorization.

225715140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 225715140 is about 15023.8190883676. The cubic root of 225715140 is about 608.8639070790.

The spelling of 225715140 in words is "two hundred twenty-five million, seven hundred fifteen thousand, one hundred forty".