225943872 has 448 divisors, whose sum is σ = 842711040. Its totient is φ = 51609600.

The previous prime is 225943859. The next prime is 225943873. The reversal of 225943872 is 278349522.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225943873) 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 63 ways as a sum of consecutive naturals, for example, 7288497 + ... + 7288527.

Almost surely, 2^225943872 is an apocalyptic number.

225943872 is a gapful number since it is divisible by the number (22) 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 225943872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421355520).

225943872 is an abundant number, since it is smaller than the sum of its proper divisors (616767168).

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

225943872 is a wasteful number, since it uses less digits than its factorization.

225943872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 100 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 225943872 is about 15031.4294729410. The cubic root of 225943872 is about 609.0695049297.

The spelling of 225943872 in words is "two hundred twenty-five million, nine hundred forty-three thousand, eight hundred seventy-two".