225767000 has 32 divisors (see below), whose sum is σ = 528297120. Its totient is φ = 90306400.

The previous prime is 225766979. The next prime is 225767041. The reversal of 225767000 is 767522.

It is a happy number.

225767000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111884 + ... + 113883.

It is an arithmetic number, because the mean of its divisors is an integer number (16509285).

Almost surely, 2^225767000 is an apocalyptic number.

225767000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225767000 is an abundant number, since it is smaller than the sum of its proper divisors (302530120).

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

225767000 is a wasteful number, since it uses less digits than its factorization.

225767000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225788 (or 225774 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 225767000 is about 15025.5449152435. The cubic root of 225767000 is about 608.9105340861.

The spelling of 225767000 in words is "two hundred twenty-five million, seven hundred sixty-seven thousand".