225266000 has 80 divisors (see below), whose sum is σ = 548827968. Its totient is φ = 89424000.

The previous prime is 225265991. The next prime is 225266009. The reversal of 225266000 is 662522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (225265991) and next prime (225266009).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225266009) 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 15 ways as a sum of consecutive naturals, for example, 325655 + ... + 326345.

Almost surely, 2^225266000 is an apocalyptic number.

225266000 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 225266000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274413984).

225266000 is an abundant number, since it is smaller than the sum of its proper divisors (323561968).

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

225266000 is a wasteful number, since it uses less digits than its factorization.

225266000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 225266000 is about 15008.8640476220. The cubic root of 225266000 is about 608.4597889781.

The spelling of 225266000 in words is "two hundred twenty-five million, two hundred sixty-six thousand".