225951000 has 256 divisors, whose sum is σ = 792529920. Its totient is φ = 53120000.

The previous prime is 225950999. The next prime is 225951013. The reversal of 225951000 is 159522.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1352917 + ... + 1353083.

It is an arithmetic number, because the mean of its divisors is an integer number (3095820).

Almost surely, 2^225951000 is an apocalyptic number.

225951000 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 225951000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396264960).

225951000 is an abundant number, since it is smaller than the sum of its proper divisors (566578920).

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

225951000 is a wasteful number, since it uses less digits than its factorization.

225951000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 225951000 is about 15031.6665742691. Note that the first 3 decimals coincide. The cubic root of 225951000 is about 609.0759097679.

The spelling of 225951000 in words is "two hundred twenty-five million, nine hundred fifty-one thousand".