225877842 has 64 divisors (see below), whose sum is σ = 527155200. Its totient is φ = 71597520.

The previous prime is 225877831. The next prime is 225877843. The reversal of 225877842 is 248778522.

225877842 is a `hidden beast` number, since 22 + 587 + 7 + 8 + 42 = 666.

It is not an unprimeable number, because it can be changed into a prime (225877843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97623 + ... + 99909.

It is an arithmetic number, because the mean of its divisors is an integer number (8236800).

Almost surely, 2^225877842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225877842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263577600).

225877842 is an abundant number, since it is smaller than the sum of its proper divisors (301277358).

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

225877842 is a wasteful number, since it uses less digits than its factorization.

225877842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2382 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 225877842 is about 15029.2329145569. The cubic root of 225877842 is about 609.0101675121.

The spelling of 225877842 in words is "two hundred twenty-five million, eight hundred seventy-seven thousand, eight hundred forty-two".