225859296 has 96 divisors (see below), whose sum is σ = 643634208. Its totient is φ = 68935680.

The previous prime is 225859267. The next prime is 225859301. The reversal of 225859296 is 692958522.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170316 + ... + 171636.

It is an arithmetic number, because the mean of its divisors is an integer number (6704523).

Almost surely, 2^225859296 is an apocalyptic number.

225859296 is a gapful number since it is divisible by the number (26) 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 225859296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321817104).

225859296 is an abundant number, since it is smaller than the sum of its proper divisors (417774912).

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

225859296 is a wasteful number, since it uses less digits than its factorization.

225859296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1476 counting only the distinct ones).

The product of its digits is 777600, while the sum is 48.

The square root of 225859296 is about 15028.6159043340. The cubic root of 225859296 is about 608.9934991932.

The spelling of 225859296 in words is "two hundred twenty-five million, eight hundred fifty-nine thousand, two hundred ninety-six".